[CI] Add clib_expererimental tests to workflow

Adding tests to clang-compiler workflow.

.github/workflows/main.yml

@@ -157,7 +157,7 @@ jobs:
       run: |
         sudo apt update
         sudo apt install libboost-dev gfortran libomp-dev libomp5 \
-          libopenblas-openmp-dev  libhdf5-dev
+          libopenblas-openmp-dev libhdf5-dev python3-jinja2
     - name: Upgrade pip
       run: python3 -m pip install -U pip setuptools wheel
     - name: Install Python dependencies
@@ -177,6 +177,13 @@ jobs:
       run: |
         LD_LIBRARY_PATH=build/lib
         python3 -m pytest -raP -v -n auto --durations=50 test/python
+    - name: Generate clib_experimental
+      run: |
+        python3 `which scons` doxygen
+        python3 interfaces/sourcegen/run.py --api=clib --output=.
+        python3 `which scons` build clib_experimental=y
+    - name: Run googletests for clib_experimental
+      run: python3 `which scons` test-clib-experimental --debug=time
 
   macos-multiple-pythons:
     name: ${{ matrix.macos-version }} with Python ${{ matrix.python-version }}