misc: Add MPI0 logging level #5797

Job	Run time
pytest-ubuntu-py311-gcc11-noomp-base	56m 54s
pytest-ubuntu-py311-gcc11-noomp-adjoint	1h 11m 16s
pytest-ubuntu-py38-gcc12-omp-base	1h 4m 59s
pytest-ubuntu-py38-gcc12-omp-adjoint	1h 8m 17s
pytest-ubuntu-py37-gcc7-omp-base	1h 9m 44s
pytest-ubuntu-py37-gcc7-omp-adjoint	51m 39s
pytest-ubuntu-py310-gcc10-noomp-base	56m 24s
pytest-ubuntu-py310-gcc10-noomp-adjoint	1h 1m 20s
pytest-ubuntu-py38-gcc8-omp-base	1h 0m 59s
pytest-ubuntu-py38-gcc8-omp-adjoint	48m 4s
pytest-ubuntu-py39-gcc9-omp-base	51m 34s
pytest-ubuntu-py39-gcc9-omp-adjoint	48m 16s
pytest-osx-py37-clang-omp-base	5m 1s
pytest-docker-py39-gcc-omp-base	59m 56s
pytest-docker-py39-gcc-omp-adjoint	1h 2m 27s
pytest-docker-py39-icx-omp-base	54m 47s
pytest-docker-py39-icx-omp-adjoint	1h 1m 3s
	15h 52m 40s

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