diff --git a/tests/scripts/all.sh b/tests/scripts/all.sh
index a20dd921d..21f415b15 100755
--- a/tests/scripts/all.sh
+++ b/tests/scripts/all.sh
@@ -1533,12 +1533,15 @@ component_test_psa_collect_statuses () {
 component_test_full_cmake_clang () {
     msg "build: cmake, full config, clang" # ~ 50s
     scripts/config.py full
-    CC=clang cmake -D CMAKE_BUILD_TYPE:String=Release -D ENABLE_TESTING=On .
+    CC=clang CXX=clang cmake -D CMAKE_BUILD_TYPE:String=Release -D ENABLE_TESTING=On -D TEST_CPP=1 .
     make
 
     msg "test: main suites (full config, clang)" # ~ 5s
     make test
 
+    msg "test: cpp_dummy_build (full config, clang)" # ~ 1s
+    programs/test/cpp_dummy_build
+
     msg "test: psa_constant_names (full config, clang)" # ~ 1s
     tests/scripts/test_psa_constant_names.py
 
@@ -1756,15 +1759,6 @@ component_build_key_exchanges () {
     tests/scripts/key-exchanges.pl
 }
 
-component_test_make_cxx () {
-    msg "build: Unix make, full, gcc + g++"
-    scripts/config.py full
-    make TEST_CPP=1 lib programs
-
-    msg "test: cpp_dummy_build"
-    programs/test/cpp_dummy_build
-}
-
 component_test_no_use_psa_crypto_full_cmake_asan() {
     # full minus MBEDTLS_USE_PSA_CRYPTO: run the same set of tests as basic-build-test.sh
     msg "build: cmake, full config minus MBEDTLS_USE_PSA_CRYPTO, ASan"
@@ -2053,24 +2047,6 @@ component_test_psa_crypto_config_chachapoly_disabled() {
     make test
 }
 
-# This should be renamed to test and updated once the accelerator ECDSA code is in place and ready to test.
-component_build_psa_accel_alg_ecdsa() {
-    # full plus MBEDTLS_PSA_CRYPTO_CONFIG with PSA_WANT_ALG_ECDSA
-    # without MBEDTLS_ECDSA_C
-    # PSA_WANT_ALG_ECDSA and PSA_WANT_ALG_DETERMINISTIC_ECDSA are already
-    # set in include/psa/crypto_config.h
-    msg "build: full + MBEDTLS_PSA_CRYPTO_CONFIG + PSA_WANT_ALG_ECDSA without MBEDTLS_ECDSA_C"
-    scripts/config.py full
-    scripts/config.py set MBEDTLS_PSA_CRYPTO_CONFIG
-    scripts/config.py set MBEDTLS_PSA_CRYPTO_DRIVERS
-    scripts/config.py unset MBEDTLS_USE_PSA_CRYPTO
-    scripts/config.py unset MBEDTLS_ECDSA_C
-    scripts/config.py unset MBEDTLS_KEY_EXCHANGE_ECDH_ECDSA_ENABLED
-    scripts/config.py unset MBEDTLS_KEY_EXCHANGE_ECDHE_ECDSA_ENABLED
-    # Need to define the correct symbol and include the test driver header path in order to build with the test driver
-    make CC=gcc CFLAGS="$ASAN_CFLAGS -DPSA_CRYPTO_DRIVER_TEST -DMBEDTLS_PSA_ACCEL_ALG_ECDSA -DMBEDTLS_PSA_ACCEL_ALG_DETERMINISTIC_ECDSA -I../tests/include -O2" LDFLAGS="$ASAN_CFLAGS"
-}
-
 # This should be renamed to test and updated once the accelerator ECDH code is in place and ready to test.
 component_build_psa_accel_alg_ecdh() {
     # full plus MBEDTLS_PSA_CRYPTO_CONFIG with PSA_WANT_ALG_ECDH