diff --git a/tests/opt-testcases/tls13-compat.sh b/tests/opt-testcases/tls13-compat.sh
index 4c1dbe2..87c7ff3 100755
--- a/tests/opt-testcases/tls13-compat.sh
+++ b/tests/opt-testcases/tls13-compat.sh
@@ -3480,9 +3480,8 @@
 requires_config_enabled MBEDTLS_SSL_CLI_C
 requires_config_enabled MBEDTLS_SSL_PROTO_TLS1_3
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
-requires_config_enabled MBEDTLS_X509_RSASSA_PSS_SUPPORT
 run_test "TLS 1.3 m->O: HRR secp256r1 -> secp384r1" \
-         "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp256r1.crt -key data_files/ecdsa_secp256r1.key -cert data_files/ecdsa_secp384r1.crt -key data_files/ecdsa_secp384r1.key -cert data_files/ecdsa_secp521r1.crt -key data_files/ecdsa_secp521r1.key -cert data_files/server2-sha256.crt -key data_files/server2.key -accept $SRV_PORT -groups P-384 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
+         "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp384r1.crt -key data_files/ecdsa_secp384r1.key -accept $SRV_PORT -groups P-384 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt curves=secp256r1,secp384r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
@@ -3498,9 +3497,8 @@
 requires_config_enabled MBEDTLS_SSL_CLI_C
 requires_config_enabled MBEDTLS_SSL_PROTO_TLS1_3
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
-requires_config_enabled MBEDTLS_X509_RSASSA_PSS_SUPPORT
 run_test "TLS 1.3 m->G: HRR secp256r1 -> secp384r1" \
-         "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp256r1.crt --x509keyfile data_files/ecdsa_secp256r1.key --x509certfile data_files/ecdsa_secp384r1.crt --x509keyfile data_files/ecdsa_secp384r1.key --x509certfile data_files/ecdsa_secp521r1.crt --x509keyfile data_files/ecdsa_secp521r1.key --x509certfile data_files/server2-sha256.crt --x509keyfile data_files/server2.key --priority=NONE:+CIPHER-ALL:+GROUP-SECP384R1:+MAC-ALL:+SIGN-ALL:+VERS-TLS1.3:%NO_TICKETS" \
+         "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp384r1.crt --x509keyfile data_files/ecdsa_secp384r1.key --priority=NONE:+CIPHER-ALL:+GROUP-SECP384R1:+MAC-ALL:+SIGN-ALL:+VERS-TLS1.3:%NO_TICKETS" \
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt curves=secp256r1,secp384r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
@@ -3514,9 +3512,8 @@
 requires_config_enabled MBEDTLS_SSL_CLI_C
 requires_config_enabled MBEDTLS_SSL_PROTO_TLS1_3
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
-requires_config_enabled MBEDTLS_X509_RSASSA_PSS_SUPPORT
 run_test "TLS 1.3 m->O: HRR secp256r1 -> secp521r1" \
-         "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp256r1.crt -key data_files/ecdsa_secp256r1.key -cert data_files/ecdsa_secp384r1.crt -key data_files/ecdsa_secp384r1.key -cert data_files/ecdsa_secp521r1.crt -key data_files/ecdsa_secp521r1.key -cert data_files/server2-sha256.crt -key data_files/server2.key -accept $SRV_PORT -groups P-521 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
+         "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp384r1.crt -key data_files/ecdsa_secp384r1.key -accept $SRV_PORT -groups P-521 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt curves=secp256r1,secp384r1,secp521r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
@@ -3532,9 +3529,8 @@
 requires_config_enabled MBEDTLS_SSL_CLI_C
 requires_config_enabled MBEDTLS_SSL_PROTO_TLS1_3
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
-requires_config_enabled MBEDTLS_X509_RSASSA_PSS_SUPPORT
 run_test "TLS 1.3 m->G: HRR secp256r1 -> secp521r1" \
-         "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp256r1.crt --x509keyfile data_files/ecdsa_secp256r1.key --x509certfile data_files/ecdsa_secp384r1.crt --x509keyfile data_files/ecdsa_secp384r1.key --x509certfile data_files/ecdsa_secp521r1.crt --x509keyfile data_files/ecdsa_secp521r1.key --x509certfile data_files/server2-sha256.crt --x509keyfile data_files/server2.key --priority=NONE:+CIPHER-ALL:+GROUP-SECP521R1:+MAC-ALL:+SIGN-ALL:+VERS-TLS1.3:%NO_TICKETS" \
+         "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp384r1.crt --x509keyfile data_files/ecdsa_secp384r1.key --priority=NONE:+CIPHER-ALL:+GROUP-SECP521R1:+MAC-ALL:+SIGN-ALL:+VERS-TLS1.3:%NO_TICKETS" \
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt curves=secp256r1,secp384r1,secp521r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
@@ -3548,9 +3544,8 @@
 requires_config_enabled MBEDTLS_SSL_CLI_C
 requires_config_enabled MBEDTLS_SSL_PROTO_TLS1_3
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
-requires_config_enabled MBEDTLS_X509_RSASSA_PSS_SUPPORT
 run_test "TLS 1.3 m->O: HRR secp256r1 -> x25519" \
-         "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp256r1.crt -key data_files/ecdsa_secp256r1.key -cert data_files/ecdsa_secp384r1.crt -key data_files/ecdsa_secp384r1.key -cert data_files/ecdsa_secp521r1.crt -key data_files/ecdsa_secp521r1.key -cert data_files/server2-sha256.crt -key data_files/server2.key -accept $SRV_PORT -groups X25519 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
+         "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp384r1.crt -key data_files/ecdsa_secp384r1.key -accept $SRV_PORT -groups X25519 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt curves=secp256r1,secp384r1,x25519" \
          0 \
          -c "HTTP/1.0 200 ok" \
@@ -3566,9 +3561,8 @@
 requires_config_enabled MBEDTLS_SSL_CLI_C
 requires_config_enabled MBEDTLS_SSL_PROTO_TLS1_3
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
-requires_config_enabled MBEDTLS_X509_RSASSA_PSS_SUPPORT
 run_test "TLS 1.3 m->G: HRR secp256r1 -> x25519" \
-         "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp256r1.crt --x509keyfile data_files/ecdsa_secp256r1.key --x509certfile data_files/ecdsa_secp384r1.crt --x509keyfile data_files/ecdsa_secp384r1.key --x509certfile data_files/ecdsa_secp521r1.crt --x509keyfile data_files/ecdsa_secp521r1.key --x509certfile data_files/server2-sha256.crt --x509keyfile data_files/server2.key --priority=NONE:+CIPHER-ALL:+GROUP-X25519:+MAC-ALL:+SIGN-ALL:+VERS-TLS1.3:%NO_TICKETS" \
+         "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp384r1.crt --x509keyfile data_files/ecdsa_secp384r1.key --priority=NONE:+CIPHER-ALL:+GROUP-X25519:+MAC-ALL:+SIGN-ALL:+VERS-TLS1.3:%NO_TICKETS" \
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt curves=secp256r1,secp384r1,x25519" \
          0 \
          -c "HTTP/1.0 200 OK" \
@@ -3582,9 +3576,8 @@
 requires_config_enabled MBEDTLS_SSL_CLI_C
 requires_config_enabled MBEDTLS_SSL_PROTO_TLS1_3
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
-requires_config_enabled MBEDTLS_X509_RSASSA_PSS_SUPPORT
 run_test "TLS 1.3 m->O: HRR secp256r1 -> x448" \
-         "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp256r1.crt -key data_files/ecdsa_secp256r1.key -cert data_files/ecdsa_secp384r1.crt -key data_files/ecdsa_secp384r1.key -cert data_files/ecdsa_secp521r1.crt -key data_files/ecdsa_secp521r1.key -cert data_files/server2-sha256.crt -key data_files/server2.key -accept $SRV_PORT -groups X448 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
+         "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp384r1.crt -key data_files/ecdsa_secp384r1.key -accept $SRV_PORT -groups X448 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt curves=secp256r1,secp384r1,x448" \
          0 \
          -c "HTTP/1.0 200 ok" \
@@ -3600,9 +3593,8 @@
 requires_config_enabled MBEDTLS_SSL_CLI_C
 requires_config_enabled MBEDTLS_SSL_PROTO_TLS1_3
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
-requires_config_enabled MBEDTLS_X509_RSASSA_PSS_SUPPORT
 run_test "TLS 1.3 m->G: HRR secp256r1 -> x448" \
-         "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp256r1.crt --x509keyfile data_files/ecdsa_secp256r1.key --x509certfile data_files/ecdsa_secp384r1.crt --x509keyfile data_files/ecdsa_secp384r1.key --x509certfile data_files/ecdsa_secp521r1.crt --x509keyfile data_files/ecdsa_secp521r1.key --x509certfile data_files/server2-sha256.crt --x509keyfile data_files/server2.key --priority=NONE:+CIPHER-ALL:+GROUP-X448:+MAC-ALL:+SIGN-ALL:+VERS-TLS1.3:%NO_TICKETS" \
+         "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp384r1.crt --x509keyfile data_files/ecdsa_secp384r1.key --priority=NONE:+CIPHER-ALL:+GROUP-X448:+MAC-ALL:+SIGN-ALL:+VERS-TLS1.3:%NO_TICKETS" \
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt curves=secp256r1,secp384r1,x448" \
          0 \
          -c "HTTP/1.0 200 OK" \
@@ -3616,9 +3608,8 @@
 requires_config_enabled MBEDTLS_SSL_CLI_C
 requires_config_enabled MBEDTLS_SSL_PROTO_TLS1_3
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
-requires_config_enabled MBEDTLS_X509_RSASSA_PSS_SUPPORT
 run_test "TLS 1.3 m->O: HRR secp384r1 -> secp256r1" \
-         "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp256r1.crt -key data_files/ecdsa_secp256r1.key -cert data_files/ecdsa_secp384r1.crt -key data_files/ecdsa_secp384r1.key -cert data_files/ecdsa_secp521r1.crt -key data_files/ecdsa_secp521r1.key -cert data_files/server2-sha256.crt -key data_files/server2.key -accept $SRV_PORT -groups P-256 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
+         "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp384r1.crt -key data_files/ecdsa_secp384r1.key -accept $SRV_PORT -groups P-256 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt curves=secp384r1,secp256r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
@@ -3634,9 +3625,8 @@
 requires_config_enabled MBEDTLS_SSL_CLI_C
 requires_config_enabled MBEDTLS_SSL_PROTO_TLS1_3
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
-requires_config_enabled MBEDTLS_X509_RSASSA_PSS_SUPPORT
 run_test "TLS 1.3 m->G: HRR secp384r1 -> secp256r1" \
-         "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp256r1.crt --x509keyfile data_files/ecdsa_secp256r1.key --x509certfile data_files/ecdsa_secp384r1.crt --x509keyfile data_files/ecdsa_secp384r1.key --x509certfile data_files/ecdsa_secp521r1.crt --x509keyfile data_files/ecdsa_secp521r1.key --x509certfile data_files/server2-sha256.crt --x509keyfile data_files/server2.key --priority=NONE:+CIPHER-ALL:+GROUP-SECP256R1:+MAC-ALL:+SIGN-ALL:+VERS-TLS1.3:%NO_TICKETS" \
+         "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp384r1.crt --x509keyfile data_files/ecdsa_secp384r1.key --priority=NONE:+CIPHER-ALL:+GROUP-SECP256R1:+MAC-ALL:+SIGN-ALL:+VERS-TLS1.3:%NO_TICKETS" \
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt curves=secp384r1,secp256r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
@@ -3650,9 +3640,8 @@
 requires_config_enabled MBEDTLS_SSL_CLI_C
 requires_config_enabled MBEDTLS_SSL_PROTO_TLS1_3
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
-requires_config_enabled MBEDTLS_X509_RSASSA_PSS_SUPPORT
 run_test "TLS 1.3 m->O: HRR secp384r1 -> secp521r1" \
-         "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp256r1.crt -key data_files/ecdsa_secp256r1.key -cert data_files/ecdsa_secp384r1.crt -key data_files/ecdsa_secp384r1.key -cert data_files/ecdsa_secp521r1.crt -key data_files/ecdsa_secp521r1.key -cert data_files/server2-sha256.crt -key data_files/server2.key -accept $SRV_PORT -groups P-521 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
+         "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp384r1.crt -key data_files/ecdsa_secp384r1.key -accept $SRV_PORT -groups P-521 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt curves=secp384r1,secp521r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
@@ -3668,9 +3657,8 @@
 requires_config_enabled MBEDTLS_SSL_CLI_C
 requires_config_enabled MBEDTLS_SSL_PROTO_TLS1_3
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
-requires_config_enabled MBEDTLS_X509_RSASSA_PSS_SUPPORT
 run_test "TLS 1.3 m->G: HRR secp384r1 -> secp521r1" \
-         "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp256r1.crt --x509keyfile data_files/ecdsa_secp256r1.key --x509certfile data_files/ecdsa_secp384r1.crt --x509keyfile data_files/ecdsa_secp384r1.key --x509certfile data_files/ecdsa_secp521r1.crt --x509keyfile data_files/ecdsa_secp521r1.key --x509certfile data_files/server2-sha256.crt --x509keyfile data_files/server2.key --priority=NONE:+CIPHER-ALL:+GROUP-SECP521R1:+MAC-ALL:+SIGN-ALL:+VERS-TLS1.3:%NO_TICKETS" \
+         "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp384r1.crt --x509keyfile data_files/ecdsa_secp384r1.key --priority=NONE:+CIPHER-ALL:+GROUP-SECP521R1:+MAC-ALL:+SIGN-ALL:+VERS-TLS1.3:%NO_TICKETS" \
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt curves=secp384r1,secp521r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
@@ -3684,9 +3672,8 @@
 requires_config_enabled MBEDTLS_SSL_CLI_C
 requires_config_enabled MBEDTLS_SSL_PROTO_TLS1_3
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
-requires_config_enabled MBEDTLS_X509_RSASSA_PSS_SUPPORT
 run_test "TLS 1.3 m->O: HRR secp384r1 -> x25519" \
-         "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp256r1.crt -key data_files/ecdsa_secp256r1.key -cert data_files/ecdsa_secp384r1.crt -key data_files/ecdsa_secp384r1.key -cert data_files/ecdsa_secp521r1.crt -key data_files/ecdsa_secp521r1.key -cert data_files/server2-sha256.crt -key data_files/server2.key -accept $SRV_PORT -groups X25519 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
+         "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp384r1.crt -key data_files/ecdsa_secp384r1.key -accept $SRV_PORT -groups X25519 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt curves=secp384r1,x25519" \
          0 \
          -c "HTTP/1.0 200 ok" \
@@ -3702,9 +3689,8 @@
 requires_config_enabled MBEDTLS_SSL_CLI_C
 requires_config_enabled MBEDTLS_SSL_PROTO_TLS1_3
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
-requires_config_enabled MBEDTLS_X509_RSASSA_PSS_SUPPORT
 run_test "TLS 1.3 m->G: HRR secp384r1 -> x25519" \
-         "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp256r1.crt --x509keyfile data_files/ecdsa_secp256r1.key --x509certfile data_files/ecdsa_secp384r1.crt --x509keyfile data_files/ecdsa_secp384r1.key --x509certfile data_files/ecdsa_secp521r1.crt --x509keyfile data_files/ecdsa_secp521r1.key --x509certfile data_files/server2-sha256.crt --x509keyfile data_files/server2.key --priority=NONE:+CIPHER-ALL:+GROUP-X25519:+MAC-ALL:+SIGN-ALL:+VERS-TLS1.3:%NO_TICKETS" \
+         "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp384r1.crt --x509keyfile data_files/ecdsa_secp384r1.key --priority=NONE:+CIPHER-ALL:+GROUP-X25519:+MAC-ALL:+SIGN-ALL:+VERS-TLS1.3:%NO_TICKETS" \
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt curves=secp384r1,x25519" \
          0 \
          -c "HTTP/1.0 200 OK" \
@@ -3718,9 +3704,8 @@
 requires_config_enabled MBEDTLS_SSL_CLI_C
 requires_config_enabled MBEDTLS_SSL_PROTO_TLS1_3
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
-requires_config_enabled MBEDTLS_X509_RSASSA_PSS_SUPPORT
 run_test "TLS 1.3 m->O: HRR secp384r1 -> x448" \
-         "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp256r1.crt -key data_files/ecdsa_secp256r1.key -cert data_files/ecdsa_secp384r1.crt -key data_files/ecdsa_secp384r1.key -cert data_files/ecdsa_secp521r1.crt -key data_files/ecdsa_secp521r1.key -cert data_files/server2-sha256.crt -key data_files/server2.key -accept $SRV_PORT -groups X448 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
+         "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp384r1.crt -key data_files/ecdsa_secp384r1.key -accept $SRV_PORT -groups X448 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt curves=secp384r1,x448" \
          0 \
          -c "HTTP/1.0 200 ok" \
@@ -3736,9 +3721,8 @@
 requires_config_enabled MBEDTLS_SSL_CLI_C
 requires_config_enabled MBEDTLS_SSL_PROTO_TLS1_3
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
-requires_config_enabled MBEDTLS_X509_RSASSA_PSS_SUPPORT
 run_test "TLS 1.3 m->G: HRR secp384r1 -> x448" \
-         "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp256r1.crt --x509keyfile data_files/ecdsa_secp256r1.key --x509certfile data_files/ecdsa_secp384r1.crt --x509keyfile data_files/ecdsa_secp384r1.key --x509certfile data_files/ecdsa_secp521r1.crt --x509keyfile data_files/ecdsa_secp521r1.key --x509certfile data_files/server2-sha256.crt --x509keyfile data_files/server2.key --priority=NONE:+CIPHER-ALL:+GROUP-X448:+MAC-ALL:+SIGN-ALL:+VERS-TLS1.3:%NO_TICKETS" \
+         "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp384r1.crt --x509keyfile data_files/ecdsa_secp384r1.key --priority=NONE:+CIPHER-ALL:+GROUP-X448:+MAC-ALL:+SIGN-ALL:+VERS-TLS1.3:%NO_TICKETS" \
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt curves=secp384r1,x448" \
          0 \
          -c "HTTP/1.0 200 OK" \
@@ -3752,9 +3736,8 @@
 requires_config_enabled MBEDTLS_SSL_CLI_C
 requires_config_enabled MBEDTLS_SSL_PROTO_TLS1_3
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
-requires_config_enabled MBEDTLS_X509_RSASSA_PSS_SUPPORT
 run_test "TLS 1.3 m->O: HRR secp521r1 -> secp256r1" \
-         "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp256r1.crt -key data_files/ecdsa_secp256r1.key -cert data_files/ecdsa_secp384r1.crt -key data_files/ecdsa_secp384r1.key -cert data_files/ecdsa_secp521r1.crt -key data_files/ecdsa_secp521r1.key -cert data_files/server2-sha256.crt -key data_files/server2.key -accept $SRV_PORT -groups P-256 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
+         "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp384r1.crt -key data_files/ecdsa_secp384r1.key -accept $SRV_PORT -groups P-256 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt curves=secp521r1,secp384r1,secp256r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
@@ -3770,9 +3753,8 @@
 requires_config_enabled MBEDTLS_SSL_CLI_C
 requires_config_enabled MBEDTLS_SSL_PROTO_TLS1_3
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
-requires_config_enabled MBEDTLS_X509_RSASSA_PSS_SUPPORT
 run_test "TLS 1.3 m->G: HRR secp521r1 -> secp256r1" \
-         "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp256r1.crt --x509keyfile data_files/ecdsa_secp256r1.key --x509certfile data_files/ecdsa_secp384r1.crt --x509keyfile data_files/ecdsa_secp384r1.key --x509certfile data_files/ecdsa_secp521r1.crt --x509keyfile data_files/ecdsa_secp521r1.key --x509certfile data_files/server2-sha256.crt --x509keyfile data_files/server2.key --priority=NONE:+CIPHER-ALL:+GROUP-SECP256R1:+MAC-ALL:+SIGN-ALL:+VERS-TLS1.3:%NO_TICKETS" \
+         "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp384r1.crt --x509keyfile data_files/ecdsa_secp384r1.key --priority=NONE:+CIPHER-ALL:+GROUP-SECP256R1:+MAC-ALL:+SIGN-ALL:+VERS-TLS1.3:%NO_TICKETS" \
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt curves=secp521r1,secp384r1,secp256r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
@@ -3786,9 +3768,8 @@
 requires_config_enabled MBEDTLS_SSL_CLI_C
 requires_config_enabled MBEDTLS_SSL_PROTO_TLS1_3
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
-requires_config_enabled MBEDTLS_X509_RSASSA_PSS_SUPPORT
 run_test "TLS 1.3 m->O: HRR secp521r1 -> secp384r1" \
-         "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp256r1.crt -key data_files/ecdsa_secp256r1.key -cert data_files/ecdsa_secp384r1.crt -key data_files/ecdsa_secp384r1.key -cert data_files/ecdsa_secp521r1.crt -key data_files/ecdsa_secp521r1.key -cert data_files/server2-sha256.crt -key data_files/server2.key -accept $SRV_PORT -groups P-384 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
+         "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp384r1.crt -key data_files/ecdsa_secp384r1.key -accept $SRV_PORT -groups P-384 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt curves=secp521r1,secp384r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
@@ -3804,9 +3785,8 @@
 requires_config_enabled MBEDTLS_SSL_CLI_C
 requires_config_enabled MBEDTLS_SSL_PROTO_TLS1_3
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
-requires_config_enabled MBEDTLS_X509_RSASSA_PSS_SUPPORT
 run_test "TLS 1.3 m->G: HRR secp521r1 -> secp384r1" \
-         "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp256r1.crt --x509keyfile data_files/ecdsa_secp256r1.key --x509certfile data_files/ecdsa_secp384r1.crt --x509keyfile data_files/ecdsa_secp384r1.key --x509certfile data_files/ecdsa_secp521r1.crt --x509keyfile data_files/ecdsa_secp521r1.key --x509certfile data_files/server2-sha256.crt --x509keyfile data_files/server2.key --priority=NONE:+CIPHER-ALL:+GROUP-SECP384R1:+MAC-ALL:+SIGN-ALL:+VERS-TLS1.3:%NO_TICKETS" \
+         "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp384r1.crt --x509keyfile data_files/ecdsa_secp384r1.key --priority=NONE:+CIPHER-ALL:+GROUP-SECP384R1:+MAC-ALL:+SIGN-ALL:+VERS-TLS1.3:%NO_TICKETS" \
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt curves=secp521r1,secp384r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
@@ -3820,9 +3800,8 @@
 requires_config_enabled MBEDTLS_SSL_CLI_C
 requires_config_enabled MBEDTLS_SSL_PROTO_TLS1_3
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
-requires_config_enabled MBEDTLS_X509_RSASSA_PSS_SUPPORT
 run_test "TLS 1.3 m->O: HRR secp521r1 -> x25519" \
-         "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp256r1.crt -key data_files/ecdsa_secp256r1.key -cert data_files/ecdsa_secp384r1.crt -key data_files/ecdsa_secp384r1.key -cert data_files/ecdsa_secp521r1.crt -key data_files/ecdsa_secp521r1.key -cert data_files/server2-sha256.crt -key data_files/server2.key -accept $SRV_PORT -groups X25519 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
+         "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp384r1.crt -key data_files/ecdsa_secp384r1.key -accept $SRV_PORT -groups X25519 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt curves=secp521r1,secp384r1,x25519" \
          0 \
          -c "HTTP/1.0 200 ok" \
@@ -3838,9 +3817,8 @@
 requires_config_enabled MBEDTLS_SSL_CLI_C
 requires_config_enabled MBEDTLS_SSL_PROTO_TLS1_3
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
-requires_config_enabled MBEDTLS_X509_RSASSA_PSS_SUPPORT
 run_test "TLS 1.3 m->G: HRR secp521r1 -> x25519" \
-         "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp256r1.crt --x509keyfile data_files/ecdsa_secp256r1.key --x509certfile data_files/ecdsa_secp384r1.crt --x509keyfile data_files/ecdsa_secp384r1.key --x509certfile data_files/ecdsa_secp521r1.crt --x509keyfile data_files/ecdsa_secp521r1.key --x509certfile data_files/server2-sha256.crt --x509keyfile data_files/server2.key --priority=NONE:+CIPHER-ALL:+GROUP-X25519:+MAC-ALL:+SIGN-ALL:+VERS-TLS1.3:%NO_TICKETS" \
+         "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp384r1.crt --x509keyfile data_files/ecdsa_secp384r1.key --priority=NONE:+CIPHER-ALL:+GROUP-X25519:+MAC-ALL:+SIGN-ALL:+VERS-TLS1.3:%NO_TICKETS" \
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt curves=secp521r1,secp384r1,x25519" \
          0 \
          -c "HTTP/1.0 200 OK" \
@@ -3854,9 +3832,8 @@
 requires_config_enabled MBEDTLS_SSL_CLI_C
 requires_config_enabled MBEDTLS_SSL_PROTO_TLS1_3
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
-requires_config_enabled MBEDTLS_X509_RSASSA_PSS_SUPPORT
 run_test "TLS 1.3 m->O: HRR secp521r1 -> x448" \
-         "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp256r1.crt -key data_files/ecdsa_secp256r1.key -cert data_files/ecdsa_secp384r1.crt -key data_files/ecdsa_secp384r1.key -cert data_files/ecdsa_secp521r1.crt -key data_files/ecdsa_secp521r1.key -cert data_files/server2-sha256.crt -key data_files/server2.key -accept $SRV_PORT -groups X448 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
+         "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp384r1.crt -key data_files/ecdsa_secp384r1.key -accept $SRV_PORT -groups X448 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt curves=secp521r1,secp384r1,x448" \
          0 \
          -c "HTTP/1.0 200 ok" \
@@ -3872,9 +3849,8 @@
 requires_config_enabled MBEDTLS_SSL_CLI_C
 requires_config_enabled MBEDTLS_SSL_PROTO_TLS1_3
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
-requires_config_enabled MBEDTLS_X509_RSASSA_PSS_SUPPORT
 run_test "TLS 1.3 m->G: HRR secp521r1 -> x448" \
-         "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp256r1.crt --x509keyfile data_files/ecdsa_secp256r1.key --x509certfile data_files/ecdsa_secp384r1.crt --x509keyfile data_files/ecdsa_secp384r1.key --x509certfile data_files/ecdsa_secp521r1.crt --x509keyfile data_files/ecdsa_secp521r1.key --x509certfile data_files/server2-sha256.crt --x509keyfile data_files/server2.key --priority=NONE:+CIPHER-ALL:+GROUP-X448:+MAC-ALL:+SIGN-ALL:+VERS-TLS1.3:%NO_TICKETS" \
+         "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp384r1.crt --x509keyfile data_files/ecdsa_secp384r1.key --priority=NONE:+CIPHER-ALL:+GROUP-X448:+MAC-ALL:+SIGN-ALL:+VERS-TLS1.3:%NO_TICKETS" \
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt curves=secp521r1,secp384r1,x448" \
          0 \
          -c "HTTP/1.0 200 OK" \
@@ -3888,9 +3864,8 @@
 requires_config_enabled MBEDTLS_SSL_CLI_C
 requires_config_enabled MBEDTLS_SSL_PROTO_TLS1_3
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
-requires_config_enabled MBEDTLS_X509_RSASSA_PSS_SUPPORT
 run_test "TLS 1.3 m->O: HRR x25519 -> secp256r1" \
-         "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp256r1.crt -key data_files/ecdsa_secp256r1.key -cert data_files/ecdsa_secp384r1.crt -key data_files/ecdsa_secp384r1.key -cert data_files/ecdsa_secp521r1.crt -key data_files/ecdsa_secp521r1.key -cert data_files/server2-sha256.crt -key data_files/server2.key -accept $SRV_PORT -groups P-256 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
+         "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp384r1.crt -key data_files/ecdsa_secp384r1.key -accept $SRV_PORT -groups P-256 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt curves=x25519,secp384r1,secp256r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
@@ -3906,9 +3881,8 @@
 requires_config_enabled MBEDTLS_SSL_CLI_C
 requires_config_enabled MBEDTLS_SSL_PROTO_TLS1_3
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
-requires_config_enabled MBEDTLS_X509_RSASSA_PSS_SUPPORT
 run_test "TLS 1.3 m->G: HRR x25519 -> secp256r1" \
-         "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp256r1.crt --x509keyfile data_files/ecdsa_secp256r1.key --x509certfile data_files/ecdsa_secp384r1.crt --x509keyfile data_files/ecdsa_secp384r1.key --x509certfile data_files/ecdsa_secp521r1.crt --x509keyfile data_files/ecdsa_secp521r1.key --x509certfile data_files/server2-sha256.crt --x509keyfile data_files/server2.key --priority=NONE:+CIPHER-ALL:+GROUP-SECP256R1:+MAC-ALL:+SIGN-ALL:+VERS-TLS1.3:%NO_TICKETS" \
+         "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp384r1.crt --x509keyfile data_files/ecdsa_secp384r1.key --priority=NONE:+CIPHER-ALL:+GROUP-SECP256R1:+MAC-ALL:+SIGN-ALL:+VERS-TLS1.3:%NO_TICKETS" \
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt curves=x25519,secp384r1,secp256r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
@@ -3922,9 +3896,8 @@
 requires_config_enabled MBEDTLS_SSL_CLI_C
 requires_config_enabled MBEDTLS_SSL_PROTO_TLS1_3
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
-requires_config_enabled MBEDTLS_X509_RSASSA_PSS_SUPPORT
 run_test "TLS 1.3 m->O: HRR x25519 -> secp384r1" \
-         "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp256r1.crt -key data_files/ecdsa_secp256r1.key -cert data_files/ecdsa_secp384r1.crt -key data_files/ecdsa_secp384r1.key -cert data_files/ecdsa_secp521r1.crt -key data_files/ecdsa_secp521r1.key -cert data_files/server2-sha256.crt -key data_files/server2.key -accept $SRV_PORT -groups P-384 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
+         "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp384r1.crt -key data_files/ecdsa_secp384r1.key -accept $SRV_PORT -groups P-384 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt curves=x25519,secp384r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
@@ -3940,9 +3913,8 @@
 requires_config_enabled MBEDTLS_SSL_CLI_C
 requires_config_enabled MBEDTLS_SSL_PROTO_TLS1_3
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
-requires_config_enabled MBEDTLS_X509_RSASSA_PSS_SUPPORT
 run_test "TLS 1.3 m->G: HRR x25519 -> secp384r1" \
-         "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp256r1.crt --x509keyfile data_files/ecdsa_secp256r1.key --x509certfile data_files/ecdsa_secp384r1.crt --x509keyfile data_files/ecdsa_secp384r1.key --x509certfile data_files/ecdsa_secp521r1.crt --x509keyfile data_files/ecdsa_secp521r1.key --x509certfile data_files/server2-sha256.crt --x509keyfile data_files/server2.key --priority=NONE:+CIPHER-ALL:+GROUP-SECP384R1:+MAC-ALL:+SIGN-ALL:+VERS-TLS1.3:%NO_TICKETS" \
+         "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp384r1.crt --x509keyfile data_files/ecdsa_secp384r1.key --priority=NONE:+CIPHER-ALL:+GROUP-SECP384R1:+MAC-ALL:+SIGN-ALL:+VERS-TLS1.3:%NO_TICKETS" \
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt curves=x25519,secp384r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
@@ -3956,9 +3928,8 @@
 requires_config_enabled MBEDTLS_SSL_CLI_C
 requires_config_enabled MBEDTLS_SSL_PROTO_TLS1_3
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
-requires_config_enabled MBEDTLS_X509_RSASSA_PSS_SUPPORT
 run_test "TLS 1.3 m->O: HRR x25519 -> secp521r1" \
-         "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp256r1.crt -key data_files/ecdsa_secp256r1.key -cert data_files/ecdsa_secp384r1.crt -key data_files/ecdsa_secp384r1.key -cert data_files/ecdsa_secp521r1.crt -key data_files/ecdsa_secp521r1.key -cert data_files/server2-sha256.crt -key data_files/server2.key -accept $SRV_PORT -groups P-521 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
+         "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp384r1.crt -key data_files/ecdsa_secp384r1.key -accept $SRV_PORT -groups P-521 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt curves=x25519,secp384r1,secp521r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
@@ -3974,9 +3945,8 @@
 requires_config_enabled MBEDTLS_SSL_CLI_C
 requires_config_enabled MBEDTLS_SSL_PROTO_TLS1_3
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
-requires_config_enabled MBEDTLS_X509_RSASSA_PSS_SUPPORT
 run_test "TLS 1.3 m->G: HRR x25519 -> secp521r1" \
-         "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp256r1.crt --x509keyfile data_files/ecdsa_secp256r1.key --x509certfile data_files/ecdsa_secp384r1.crt --x509keyfile data_files/ecdsa_secp384r1.key --x509certfile data_files/ecdsa_secp521r1.crt --x509keyfile data_files/ecdsa_secp521r1.key --x509certfile data_files/server2-sha256.crt --x509keyfile data_files/server2.key --priority=NONE:+CIPHER-ALL:+GROUP-SECP521R1:+MAC-ALL:+SIGN-ALL:+VERS-TLS1.3:%NO_TICKETS" \
+         "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp384r1.crt --x509keyfile data_files/ecdsa_secp384r1.key --priority=NONE:+CIPHER-ALL:+GROUP-SECP521R1:+MAC-ALL:+SIGN-ALL:+VERS-TLS1.3:%NO_TICKETS" \
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt curves=x25519,secp384r1,secp521r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
@@ -3990,9 +3960,8 @@
 requires_config_enabled MBEDTLS_SSL_CLI_C
 requires_config_enabled MBEDTLS_SSL_PROTO_TLS1_3
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
-requires_config_enabled MBEDTLS_X509_RSASSA_PSS_SUPPORT
 run_test "TLS 1.3 m->O: HRR x25519 -> x448" \
-         "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp256r1.crt -key data_files/ecdsa_secp256r1.key -cert data_files/ecdsa_secp384r1.crt -key data_files/ecdsa_secp384r1.key -cert data_files/ecdsa_secp521r1.crt -key data_files/ecdsa_secp521r1.key -cert data_files/server2-sha256.crt -key data_files/server2.key -accept $SRV_PORT -groups X448 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
+         "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp384r1.crt -key data_files/ecdsa_secp384r1.key -accept $SRV_PORT -groups X448 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt curves=x25519,secp384r1,x448" \
          0 \
          -c "HTTP/1.0 200 ok" \
@@ -4008,9 +3977,8 @@
 requires_config_enabled MBEDTLS_SSL_CLI_C
 requires_config_enabled MBEDTLS_SSL_PROTO_TLS1_3
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
-requires_config_enabled MBEDTLS_X509_RSASSA_PSS_SUPPORT
 run_test "TLS 1.3 m->G: HRR x25519 -> x448" \
-         "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp256r1.crt --x509keyfile data_files/ecdsa_secp256r1.key --x509certfile data_files/ecdsa_secp384r1.crt --x509keyfile data_files/ecdsa_secp384r1.key --x509certfile data_files/ecdsa_secp521r1.crt --x509keyfile data_files/ecdsa_secp521r1.key --x509certfile data_files/server2-sha256.crt --x509keyfile data_files/server2.key --priority=NONE:+CIPHER-ALL:+GROUP-X448:+MAC-ALL:+SIGN-ALL:+VERS-TLS1.3:%NO_TICKETS" \
+         "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp384r1.crt --x509keyfile data_files/ecdsa_secp384r1.key --priority=NONE:+CIPHER-ALL:+GROUP-X448:+MAC-ALL:+SIGN-ALL:+VERS-TLS1.3:%NO_TICKETS" \
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt curves=x25519,secp384r1,x448" \
          0 \
          -c "HTTP/1.0 200 OK" \
@@ -4024,9 +3992,8 @@
 requires_config_enabled MBEDTLS_SSL_CLI_C
 requires_config_enabled MBEDTLS_SSL_PROTO_TLS1_3
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
-requires_config_enabled MBEDTLS_X509_RSASSA_PSS_SUPPORT
 run_test "TLS 1.3 m->O: HRR x448 -> secp256r1" \
-         "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp256r1.crt -key data_files/ecdsa_secp256r1.key -cert data_files/ecdsa_secp384r1.crt -key data_files/ecdsa_secp384r1.key -cert data_files/ecdsa_secp521r1.crt -key data_files/ecdsa_secp521r1.key -cert data_files/server2-sha256.crt -key data_files/server2.key -accept $SRV_PORT -groups P-256 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
+         "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp384r1.crt -key data_files/ecdsa_secp384r1.key -accept $SRV_PORT -groups P-256 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt curves=x448,secp384r1,secp256r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
@@ -4042,9 +4009,8 @@
 requires_config_enabled MBEDTLS_SSL_CLI_C
 requires_config_enabled MBEDTLS_SSL_PROTO_TLS1_3
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
-requires_config_enabled MBEDTLS_X509_RSASSA_PSS_SUPPORT
 run_test "TLS 1.3 m->G: HRR x448 -> secp256r1" \
-         "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp256r1.crt --x509keyfile data_files/ecdsa_secp256r1.key --x509certfile data_files/ecdsa_secp384r1.crt --x509keyfile data_files/ecdsa_secp384r1.key --x509certfile data_files/ecdsa_secp521r1.crt --x509keyfile data_files/ecdsa_secp521r1.key --x509certfile data_files/server2-sha256.crt --x509keyfile data_files/server2.key --priority=NONE:+CIPHER-ALL:+GROUP-SECP256R1:+MAC-ALL:+SIGN-ALL:+VERS-TLS1.3:%NO_TICKETS" \
+         "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp384r1.crt --x509keyfile data_files/ecdsa_secp384r1.key --priority=NONE:+CIPHER-ALL:+GROUP-SECP256R1:+MAC-ALL:+SIGN-ALL:+VERS-TLS1.3:%NO_TICKETS" \
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt curves=x448,secp384r1,secp256r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
@@ -4058,9 +4024,8 @@
 requires_config_enabled MBEDTLS_SSL_CLI_C
 requires_config_enabled MBEDTLS_SSL_PROTO_TLS1_3
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
-requires_config_enabled MBEDTLS_X509_RSASSA_PSS_SUPPORT
 run_test "TLS 1.3 m->O: HRR x448 -> secp384r1" \
-         "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp256r1.crt -key data_files/ecdsa_secp256r1.key -cert data_files/ecdsa_secp384r1.crt -key data_files/ecdsa_secp384r1.key -cert data_files/ecdsa_secp521r1.crt -key data_files/ecdsa_secp521r1.key -cert data_files/server2-sha256.crt -key data_files/server2.key -accept $SRV_PORT -groups P-384 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
+         "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp384r1.crt -key data_files/ecdsa_secp384r1.key -accept $SRV_PORT -groups P-384 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt curves=x448,secp384r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
@@ -4076,9 +4041,8 @@
 requires_config_enabled MBEDTLS_SSL_CLI_C
 requires_config_enabled MBEDTLS_SSL_PROTO_TLS1_3
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
-requires_config_enabled MBEDTLS_X509_RSASSA_PSS_SUPPORT
 run_test "TLS 1.3 m->G: HRR x448 -> secp384r1" \
-         "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp256r1.crt --x509keyfile data_files/ecdsa_secp256r1.key --x509certfile data_files/ecdsa_secp384r1.crt --x509keyfile data_files/ecdsa_secp384r1.key --x509certfile data_files/ecdsa_secp521r1.crt --x509keyfile data_files/ecdsa_secp521r1.key --x509certfile data_files/server2-sha256.crt --x509keyfile data_files/server2.key --priority=NONE:+CIPHER-ALL:+GROUP-SECP384R1:+MAC-ALL:+SIGN-ALL:+VERS-TLS1.3:%NO_TICKETS" \
+         "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp384r1.crt --x509keyfile data_files/ecdsa_secp384r1.key --priority=NONE:+CIPHER-ALL:+GROUP-SECP384R1:+MAC-ALL:+SIGN-ALL:+VERS-TLS1.3:%NO_TICKETS" \
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt curves=x448,secp384r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
@@ -4092,9 +4056,8 @@
 requires_config_enabled MBEDTLS_SSL_CLI_C
 requires_config_enabled MBEDTLS_SSL_PROTO_TLS1_3
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
-requires_config_enabled MBEDTLS_X509_RSASSA_PSS_SUPPORT
 run_test "TLS 1.3 m->O: HRR x448 -> secp521r1" \
-         "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp256r1.crt -key data_files/ecdsa_secp256r1.key -cert data_files/ecdsa_secp384r1.crt -key data_files/ecdsa_secp384r1.key -cert data_files/ecdsa_secp521r1.crt -key data_files/ecdsa_secp521r1.key -cert data_files/server2-sha256.crt -key data_files/server2.key -accept $SRV_PORT -groups P-521 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
+         "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp384r1.crt -key data_files/ecdsa_secp384r1.key -accept $SRV_PORT -groups P-521 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt curves=x448,secp384r1,secp521r1" \
          0 \
          -c "HTTP/1.0 200 ok" \
@@ -4110,9 +4073,8 @@
 requires_config_enabled MBEDTLS_SSL_CLI_C
 requires_config_enabled MBEDTLS_SSL_PROTO_TLS1_3
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
-requires_config_enabled MBEDTLS_X509_RSASSA_PSS_SUPPORT
 run_test "TLS 1.3 m->G: HRR x448 -> secp521r1" \
-         "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp256r1.crt --x509keyfile data_files/ecdsa_secp256r1.key --x509certfile data_files/ecdsa_secp384r1.crt --x509keyfile data_files/ecdsa_secp384r1.key --x509certfile data_files/ecdsa_secp521r1.crt --x509keyfile data_files/ecdsa_secp521r1.key --x509certfile data_files/server2-sha256.crt --x509keyfile data_files/server2.key --priority=NONE:+CIPHER-ALL:+GROUP-SECP521R1:+MAC-ALL:+SIGN-ALL:+VERS-TLS1.3:%NO_TICKETS" \
+         "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp384r1.crt --x509keyfile data_files/ecdsa_secp384r1.key --priority=NONE:+CIPHER-ALL:+GROUP-SECP521R1:+MAC-ALL:+SIGN-ALL:+VERS-TLS1.3:%NO_TICKETS" \
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt curves=x448,secp384r1,secp521r1" \
          0 \
          -c "HTTP/1.0 200 OK" \
@@ -4126,9 +4088,8 @@
 requires_config_enabled MBEDTLS_SSL_CLI_C
 requires_config_enabled MBEDTLS_SSL_PROTO_TLS1_3
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
-requires_config_enabled MBEDTLS_X509_RSASSA_PSS_SUPPORT
 run_test "TLS 1.3 m->O: HRR x448 -> x25519" \
-         "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp256r1.crt -key data_files/ecdsa_secp256r1.key -cert data_files/ecdsa_secp384r1.crt -key data_files/ecdsa_secp384r1.key -cert data_files/ecdsa_secp521r1.crt -key data_files/ecdsa_secp521r1.key -cert data_files/server2-sha256.crt -key data_files/server2.key -accept $SRV_PORT -groups X25519 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
+         "$O_NEXT_SRV_NO_CERT -cert data_files/ecdsa_secp384r1.crt -key data_files/ecdsa_secp384r1.key -accept $SRV_PORT -groups X25519 -msg -tls1_3 -num_tickets 0 -no_resume_ephemeral -no_cache" \
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt curves=x448,secp384r1,x25519" \
          0 \
          -c "HTTP/1.0 200 ok" \
@@ -4144,9 +4105,8 @@
 requires_config_enabled MBEDTLS_SSL_CLI_C
 requires_config_enabled MBEDTLS_SSL_PROTO_TLS1_3
 requires_config_enabled MBEDTLS_SSL_TLS1_3_COMPATIBILITY_MODE
-requires_config_enabled MBEDTLS_X509_RSASSA_PSS_SUPPORT
 run_test "TLS 1.3 m->G: HRR x448 -> x25519" \
-         "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp256r1.crt --x509keyfile data_files/ecdsa_secp256r1.key --x509certfile data_files/ecdsa_secp384r1.crt --x509keyfile data_files/ecdsa_secp384r1.key --x509certfile data_files/ecdsa_secp521r1.crt --x509keyfile data_files/ecdsa_secp521r1.key --x509certfile data_files/server2-sha256.crt --x509keyfile data_files/server2.key --priority=NONE:+CIPHER-ALL:+GROUP-X25519:+MAC-ALL:+SIGN-ALL:+VERS-TLS1.3:%NO_TICKETS" \
+         "$G_NEXT_SRV_NO_CERT --http --disable-client-cert --debug=4 --x509certfile data_files/ecdsa_secp384r1.crt --x509keyfile data_files/ecdsa_secp384r1.key --priority=NONE:+CIPHER-ALL:+GROUP-X25519:+MAC-ALL:+SIGN-ALL:+VERS-TLS1.3:%NO_TICKETS" \
          "$P_CLI server_addr=127.0.0.1 server_port=$SRV_PORT debug_level=4 force_version=tls13 ca_file=data_files/test-ca2.crt curves=x448,secp384r1,x25519" \
          0 \
          -c "HTTP/1.0 200 OK" \
diff --git a/tests/scripts/generate_tls13_compat_tests.py b/tests/scripts/generate_tls13_compat_tests.py
index 4c0ee35..eea8462 100755
--- a/tests/scripts/generate_tls13_compat_tests.py
+++ b/tests/scripts/generate_tls13_compat_tests.py
@@ -251,8 +251,7 @@
                         yield i
 
         if self._is_hrr:
-            priority_string_list.extend(
-                        ['CIPHER-ALL', 'SIGN-ALL', 'MAC-ALL'])
+            priority_string_list.extend(['CIPHER-ALL', 'SIGN-ALL', 'MAC-ALL'])
         else:
             if self._ciphers:
                 priority_string_list.extend(update_priority_string_list(
@@ -321,6 +320,10 @@
 
         if self._named_groups:
             if self._is_hrr:
+                # pylint: disable=pointless-string-statement
+                """
+                TODO: Use _cert_sig_algs to select EC groups in certificate verification.
+                """
                 for sig_alg in self._sig_algs:
                     if sig_alg in ('ecdsa_secp256r1_sha256',
                                    'ecdsa_secp384r1_sha384',
@@ -408,12 +411,15 @@
 def generate_compat_hrr_test(server=None, client=None, cipher=None, sig_alg=None,
                              client_named_group=None, server_named_group=None):
     """
-    Generate test case with `ssl-opt.sh` format.
+    Generate Hello Retry Request test case with `ssl-opt.sh` format.
     """
-    name = 'TLS 1.3 {client[0]}->{server[0]}: HRR {client_named_group} -> {server_named_group}'.format(
-            client=client, server=server, client_named_group=client_named_group, server_named_group=server_named_group)
-    server_object = SERVER_CLASSES[server](cipher, sig_alg, server_named_group, client_named_group, True)
-    client_object = CLIENT_CLASSES[client](cipher, sig_alg, client_named_group, server_named_group, True)
+    name = 'TLS 1.3 {client[0]}->{server[0]}: HRR {c_named_group} -> {s_named_group}'.format(
+            client=client, server=server, c_named_group=client_named_group,
+            s_named_group=server_named_group)
+    server_object = SERVER_CLASSES[server](cipher, sig_alg, server_named_group,
+                                           client_named_group, True, sig_alg)
+    client_object = CLIENT_CLASSES[client](cipher, sig_alg, client_named_group,
+                                           server_named_group, True, sig_alg)
 
     cmd = ['run_test "{}"'.format(name), '"{}"'.format(
         server_object.cmd()), '"{}"'.format(client_object.cmd()), '0']