CI: Remove ICC/ICPC (Compiler Classic) (#4303)

## Summary

Fails now in CI. For a while it remarks:
> icpc: remark #10441: The Intel(R) C++ Compiler Classic (ICC) is
deprecated and will be removed from product release in the second half
of 2023. The Intel(R) oneAPI DPC++/C++ Compiler (ICX) is the recommended
compiler moving forward. Please transition to use this compiler. Use
'-diag-disable=10441' to disable this message.

## Additional background

#4299 (comment)

.github/workflows/intel.yml

@@ -205,58 +205,3 @@ jobs:
 
         ccache -s
         du -hs ~/.cache/ccache
-
-# "Classic" EDG Intel Compiler
-  tests-icc:
-    name: ICC [tests]
-    runs-on: ubuntu-latest
-    needs: check_changes
-    if: needs.check_changes.outputs.has_non_docs_changes == 'true'
-    steps:
-    - uses: actions/checkout@v4
-    - name: Dependencies
-      run: |
-        .github/workflows/dependencies/ubuntu_free_disk_space.sh
-        .github/workflows/dependencies/dependencies_dpcpp.sh
-        sudo apt-get install -y intel-oneapi-compiler-dpcpp-cpp-and-cpp-classic
-        .github/workflows/dependencies/dependencies_ccache.sh
-    - name: Set Up Cache
-      uses: actions/cache@v4
-      with:
-        path: ~/.cache/ccache
-        key: ccache-${{ github.workflow }}-${{ github.job }}-git-${{ github.sha }}
-        restore-keys: |
-             ccache-${{ github.workflow }}-${{ github.job }}-git-
-    - name: Build & Install
-      env: {CXXFLAGS: "-Werror"}
-      run: |
-        export CCACHE_COMPRESS=1
-        export CCACHE_COMPRESSLEVEL=10
-        export CCACHE_MAXSIZE=100M
-        ccache -z
-
-        set +e
-        source /opt/intel/oneapi/setvars.sh
-        set -e
-        cmake -S . -B build                                \
-            -DCMAKE_VERBOSE_MAKEFILE=ON                    \
-            -DAMReX_EB=ON                                  \
-            -DAMReX_ENABLE_TESTS=ON                        \
-            -DAMReX_FORTRAN=OFF                            \
-            -DCMAKE_C_COMPILER=$(which icc)                \
-            -DCMAKE_CXX_COMPILER=$(which icpc)             \
-            -DCMAKE_CXX_COMPILER_LAUNCHER=ccache
-        cmake --build build --parallel 4
-        cmake --build build --target install
-        cmake --build build --target test_install
-
-        ccache -s
-        du -hs ~/.cache/ccache
-
-    - name: Run tests
-      run: |
-        set +e
-        source /opt/intel/oneapi/setvars.sh
-        set -e
-        cd build
-        ctest --output-on-failure