Simplify MPI linkage handling #3799

Job	Run time
pre-commit / pre-commit	1m 9s
ubuntu / gcc-build (ubuntu-24.04, Debug)	1m 19s
mac / clang-build (Release)	2m 56s
mac / clang-build (Debug)	2m 7s
ubuntu / gcc-build (ubuntu-24.04-arm, Release)	1m 8s
ubuntu / clang-build (ubuntu-24.04-arm)	1m 15s
ubuntu / clang-build (ubuntu-24.04)	1m 20s
windows / msvc-build (Release)	2m 50s
ubuntu / gcc-build (ubuntu-24.04-arm, Debug)	1m 11s
windows / clang-build	3m 31s
ubuntu / gcc-build (ubuntu-24.04, Release)	1m 10s
windows / msvc-build (Debug)	2m 51s
windows / msvc-test	4m 54s
windows / clang-test	2m 56s
ubuntu / clang-test (ubuntu-24.04-arm)	8m 25s
ubuntu / clang-test (ubuntu-24.04)	8m 20s
ubuntu / clang-sanitizer-build (ubuntu-24.04)	1m 17s
ubuntu / gcc-test (ubuntu-24.04-arm)	8m 20s
ubuntu / gcc-test (ubuntu-24.04)	8m 27s
mac / clang-test	5m 20s
windows / msvc-test-extended	2m 53s
windows / clang-test-extended	3m 2s
ubuntu / clang-sanitizer-test (ubuntu-24.04)	2m 58s
mac / clang-test-extended	3m 28s
ubuntu / clang-test-extended (ubuntu-24.04-arm)	4m 30s
ubuntu / clang-test-extended (ubuntu-24.04)	4m 32s
ubuntu / gcc-test-extended (ubuntu-24.04)	4m 29s
ubuntu / gcc-test-extended (ubuntu-24.04-arm)	4m 35s
ubuntu / clang-sanitizer-test-extended (ubuntu-24.04)	2m 36s
ubuntu / gcc-build-codecov	6m 3s
perf / macos-clang-build-perf-stats	1m 44s
perf / ubuntu-gcc-build-perf-stats	1m 29s
pages / build-scoreboard	14s
pages / build-doxygen-xml	22s
pages / build-sphinx	35s
pages / deploy-pages	0s
	1h 54m 16s

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