infra: stabilize MPI tests and prevent hangs #1571

Job	Run time
pre-commit / pre-commit	1m 11s
mac / clang-build (Debug)	2m 22s
mac / clang-build (Release)	4m 41s
windows / msvc-build (Release)	4m 48s
ubuntu / gcc-build (ubuntu-24.04-arm, Debug)	1m 47s
ubuntu / gcc-build (ubuntu-24.04, Debug)	2m 1s
ubuntu / clang-build (ubuntu-24.04)	2m 42s
ubuntu / gcc-build (ubuntu-24.04-arm, Release)	2m 1s
ubuntu / gcc-build (ubuntu-24.04, Release)	2m 44s
windows / clang-build	4m 57s
windows / msvc-build (Debug)	4m 32s
ubuntu / clang-build (ubuntu-24.04-arm)	2m 0s
ubuntu / clang-sanitizer-build (ubuntu-24.04)	3m 17s
ubuntu / clang-test (ubuntu-24.04)	8m 24s
ubuntu / clang-test (ubuntu-24.04-arm)	8m 16s
ubuntu / gcc-test (ubuntu-24.04-arm)	8m 35s
ubuntu / gcc-test (ubuntu-24.04)	8m 23s
mac / clang-test	5m 43s
windows / msvc-test	4m 48s
windows / clang-test	3m 19s
ubuntu / clang-sanitizer-test (ubuntu-24.04)	2m 57s
windows / clang-test-extended	2m 59s
ubuntu / clang-sanitizer-test-extended (ubuntu-24.04)	2m 24s
windows / msvc-test-extended	2m 51s
mac / clang-test-extended	3m 24s
ubuntu / clang-test-extended (ubuntu-24.04-arm)	4m 43s
ubuntu / clang-test-extended (ubuntu-24.04)	4m 48s
ubuntu / gcc-test-extended (ubuntu-24.04-arm)	4m 31s
ubuntu / gcc-test-extended (ubuntu-24.04)	4m 30s
ubuntu / gcc-build-codecov	7m 23s
perf / macos-clang-build-perf-stats	1m 56s
perf / ubuntu-gcc-build-perf-stats	1m 20s
pages / build-doxygen-xml	33s
pages / build-scoreboard	19s
pages / build-sphinx	1m 6s
pages / deploy-pages	0s
	2h 12m 15s

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