misc: Add MPI0 logging level #6515

Job	Run time
pytest-ubuntu-py311-gcc11-noomp-base	32m 21s
pytest-ubuntu-py311-gcc11-noomp-adjoint	28m 29s
pytest-ubuntu-py38-gcc12-omp-base	32m 50s
pytest-ubuntu-py38-gcc12-omp-adjoint	28m 27s
pytest-ubuntu-py37-gcc7-omp-base	34m 3s
pytest-ubuntu-py37-gcc7-omp-adjoint	29m 38s
pytest-ubuntu-py310-gcc10-noomp-base	32m 17s
pytest-ubuntu-py310-gcc10-noomp-adjoint	27m 32s
pytest-ubuntu-py312-gcc13-omp-base	45m 47s
pytest-ubuntu-py312-gcc13-omp-adjoint	40m 25s
pytest-ubuntu-py39-gcc9-omp-base	32m 38s
pytest-ubuntu-py39-gcc9-omp-adjoint	27m 59s
pytest-osx-py37-clang-omp-base	3m 5s
pytest-docker-py39-gcc-omp-base	33m 40s
pytest-docker-py39-gcc-omp-adjoint	26m 21s
pytest-docker-py39-icx-omp-base	28m 40s
pytest-docker-py39-icx-omp-adjoint	26m 21s
	8h 30m 33s

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