Add heartbeat test and fix bug #2664

Job	Run time
test-latest-deps	9m 27s
build-lint-test (3.9, ubuntu-latest)	15m 32s
build-lint-test (3.9, ubuntu-arm)	8m 36s
build-lint-test (3.9, windows-latest)	12m 14s
build-lint-test (3.13, ubuntu-latest)	16m 25s
build-lint-test (3.13, ubuntu-arm)	9m 58s
build-lint-test (3.9, macos-arm)	6m 8s
build-lint-test (3.13, macos-arm)	7m 38s
build-lint-test (3.9, macos-intel)	11m 25s
build-lint-test (3.13, windows-latest)	16m 30s
build-lint-test (3.13, macos-intel)	17m 43s
features-tests / test	7m 12s
	2h 18m 48s

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