Move _set_running_loop up the stack #1118

Job	Run time
build-lint-test (3.8, ubuntu-latest)	11m 48s
build-lint-test (3.8, ubuntu-arm)	11m 6s
build-lint-test (3.8, macos-intel)	12m 1s
build-lint-test (3.8, windows-latest)	13m 19s
build-lint-test (3.12, ubuntu-latest)	11m 56s
build-lint-test (3.12, ubuntu-arm)	10m 59s
build-lint-test (3.12, macos-intel)	12m 8s
build-lint-test (3.12, macos-arm)	6m 9s
build-lint-test (3.12, windows-latest)	14m 47s
features-tests / test	6m 17s
	1h 50m 30s

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