misc: Revamp exception hierarchy #7214

Job	Run time
pytest-ubuntu-py311-gcc11-noomp-base	51m 9s
pytest-ubuntu-py311-gcc11-noomp-adjoint	39m 42s
pytest-ubuntu-py312-gcc12-omp-base	1h 6m 33s
pytest-ubuntu-py312-gcc12-omp-adjoint	50m 36s
pytest-ubuntu-py39-gcc7-omp-base	54m 9s
pytest-ubuntu-py39-gcc7-omp-adjoint	39m 38s
pytest-ubuntu-py310-gcc10-noomp-base	47m 56s
pytest-ubuntu-py310-gcc10-noomp-adjoint	38m 57s
pytest-ubuntu-py312-gcc13-omp-base	1h 8m 33s
pytest-ubuntu-py312-gcc13-omp-adjoint	51m 27s
pytest-ubuntu-py39-gcc9-omp-base	52m 59s
pytest-ubuntu-py39-gcc9-omp-adjoint	40m 41s
pytest-osx-py312-clang-omp-base	33m 49s
pytest-docker-py39-gcc-omp-base	46m 56s
pytest-docker-py39-gcc-omp-adjoint	34m 19s
pytest-docker-py39-icx-omp-base	45m 57s
pytest-docker-py39-icx-omp-adjoint	42m 2s
	13h 25m 23s

Provide feedback