misc: Revamp exception hierarchy #7211

Job	Run time
pytest-ubuntu-py311-gcc11-noomp-base	51m 20s
pytest-ubuntu-py311-gcc11-noomp-adjoint	39m 2s
pytest-ubuntu-py312-gcc12-omp-base	1h 7m 44s
pytest-ubuntu-py312-gcc12-omp-adjoint	50m 1s
pytest-ubuntu-py39-gcc7-omp-base	53m 12s
pytest-ubuntu-py39-gcc7-omp-adjoint	40m 12s
pytest-ubuntu-py310-gcc10-noomp-base	51m 2s
pytest-ubuntu-py310-gcc10-noomp-adjoint	38m 58s
pytest-ubuntu-py312-gcc13-omp-base	1h 6m 31s
pytest-ubuntu-py312-gcc13-omp-adjoint	49m 59s
pytest-ubuntu-py39-gcc9-omp-base	52m 36s
pytest-ubuntu-py39-gcc9-omp-adjoint	40m 20s
pytest-osx-py312-clang-omp-base	31m 41s
pytest-docker-py39-gcc-omp-base	45m 59s
pytest-docker-py39-gcc-omp-adjoint	35m 14s
pytest-docker-py39-icx-omp-base	44m 51s
pytest-docker-py39-icx-omp-adjoint	43m 3s
	13h 21m 45s

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