[fix] Stabilize MPI tests and prevent hangs (#672) #4259

Job	Run time
pre-commit / pre-commit	1m 27s
mac / clang-build (Release)	3m 59s
mac / clang-build (Debug)	3m 42s
ubuntu / gcc-build (ubuntu-24.04, Release)	2m 44s
ubuntu / gcc-build (ubuntu-24.04-arm, Release)	2m 6s
ubuntu / clang-build (ubuntu-24.04)	2m 50s
ubuntu / clang-build (ubuntu-24.04-arm)	1m 47s
ubuntu / gcc-build (ubuntu-24.04-arm, Debug)	2m 4s
windows / msvc-build (Debug)	3m 15s
windows / msvc-build (Release)	4m 19s
windows / clang-build	4m 1s
ubuntu / gcc-build (ubuntu-24.04, Debug)	2m 26s
ubuntu / gcc-test (ubuntu-24.04)	8m 30s
ubuntu / gcc-test (ubuntu-24.04-arm)	8m 21s
mac / clang-test	6m 26s
windows / clang-test	3m 8s
windows / msvc-test	7m 57s
ubuntu / clang-sanitizer-build (ubuntu-24.04)	3m 18s
ubuntu / clang-test (ubuntu-24.04-arm)	8m 18s
ubuntu / clang-test (ubuntu-24.04)	8m 26s
windows / clang-test-extended	6m 17s
ubuntu / clang-sanitizer-test (ubuntu-24.04)	2m 50s
mac / clang-test-extended	3m 33s
ubuntu / gcc-test-extended (ubuntu-24.04-arm)	4m 27s
ubuntu / gcc-test-extended (ubuntu-24.04)	4m 33s
windows / msvc-test-extended	4m 10s
ubuntu / clang-test-extended (ubuntu-24.04-arm)	4m 31s
ubuntu / clang-test-extended (ubuntu-24.04)	4m 34s
ubuntu / clang-sanitizer-test-extended (ubuntu-24.04)	2m 19s
ubuntu / gcc-build-codecov	7m 26s
perf / ubuntu-gcc-build-perf-stats	1m 24s
perf / macos-clang-build-perf-stats	2m 21s
pages / build-doxygen-xml	1m 12s
pages / build-scoreboard	15s
pages / build-sphinx	52s
pages / deploy-pages	30s
	2h 20m 18s

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