pk: improve description for the new priv_id field

Signed-off-by: Valerio Setti <valerio.setti@nordicsemi.no>
diff --git a/include/mbedtls/pk.h b/include/mbedtls/pk.h
index ffd1b73..ec99c84 100644
--- a/include/mbedtls/pk.h
+++ b/include/mbedtls/pk.h
@@ -262,11 +262,24 @@
 typedef struct mbedtls_pk_context {
     const mbedtls_pk_info_t *MBEDTLS_PRIVATE(pk_info);    /**< Public key information         */
     void *MBEDTLS_PRIVATE(pk_ctx);                        /**< Underlying public key context  */
-    /* When MBEDTLS_PSA_CRYPTO_C is enabled then the following priv_id field is
-     * used to store the ID of the opaque key.
-     * This priv_id is guarded by MBEDTLS_PSA_CRYPTO_C and not by
-     * MBEDTLS_USE_PSA_CRYPTO because it can be used also in mbedtls_pk_sign_ext
-     * for RSA keys. */
+    /* The following field is used to store the ID of a private key in the
+     * following cases:
+     * - opaque key when MBEDTLS_PSA_CRYPTO_C is defined
+     * - normal key when MBEDTLS_PK_USE_PSA_EC_DATA is defined. In this case:
+     *    - the pk_ctx above is not not used to store the private key anymore.
+     *      Actually that field not populated at all in this case because also
+     *      the public key will be stored in raw format as explained below
+     *    - this ID is used for all private key operations (ex: sign, check
+     *      key pair, key write, etc) using PSA functions
+     *
+     * Note: this private key storing solution only affects EC keys, not the
+     *       other ones. The latters still use the pk_ctx to store their own
+     *       context.
+     *
+     * Note: this priv_id is guarded by MBEDTLS_PSA_CRYPTO_C and not by
+     *       MBEDTLS_PK_USE_PSA_EC_DATA (as the public counterpart below) because,
+     *       when working with opaque keys, it can be used also in
+     *       mbedtls_pk_sign_ext for RSA keys. */
 #if defined(MBEDTLS_PSA_CRYPTO_C)
     mbedtls_svc_key_id_t MBEDTLS_PRIVATE(priv_id);      /**< Key ID for opaque keys */
 #endif /* MBEDTLS_PSA_CRYPTO_C */
@@ -277,8 +290,7 @@
      *
      * When MBEDTLS_PK_USE_PSA_EC_DATA is enabled:
      * - the pk_ctx above is not used anymore for storing the public key
-     *   inside the ecp_keypair structure (only the private part, but also this
-     *   one is going to change in the future)
+     *   inside the ecp_keypair structure
      * - the following fields are used for all public key operations: signature
      *   verify, key pair check and key write.
      * Of course, when MBEDTLS_PK_USE_PSA_EC_DATA is not enabled, the legacy