misc: Add MPI0 logging level #5734

Job	Run time
pytest-ubuntu-py311-gcc11-noomp-base	1h 18m 50s
pytest-ubuntu-py311-gcc11-noomp-adjoint	1h 0m 19s
pytest-ubuntu-py38-gcc12-omp-base	1h 14m 33s
pytest-ubuntu-py38-gcc12-omp-adjoint	59m 11s
pytest-ubuntu-py37-gcc7-omp-base	1h 3m 54s
pytest-ubuntu-py37-gcc7-omp-adjoint	58m 31s
pytest-ubuntu-py310-gcc10-noomp-base	1h 10m 0s
pytest-ubuntu-py310-gcc10-noomp-adjoint	1h 14m 19s
pytest-ubuntu-py38-gcc8-omp-base	1h 30m 10s
pytest-ubuntu-py38-gcc8-omp-adjoint	58m 1s
pytest-ubuntu-py39-gcc9-omp-base	1h 0m 41s
pytest-ubuntu-py39-gcc9-omp-adjoint	53m 10s
pytest-osx-py37-clang-omp-base	5m 4s
pytest-docker-py39-gcc-omp-base	1h 6m 59s
pytest-docker-py39-gcc-omp-adjoint	55m 31s
pytest-docker-py39-icx-omp-base	1h 0m 25s
pytest-docker-py39-icx-omp-adjoint	1h 15m 35s
	17h 45m 13s

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