fix(testing): Remove `AssertionErrors` in LifeSpanHandler wait_startu… #6255

Job	Run time
validate	2m 4s
test (3.10, 1) / test	2m 15s
test (3.10, 2) / test	2m 19s
test (3.11, 1) / test	2m 1s
test (3.11, 2) / test	6m 30s
test (3.8, 1) / test	2m 11s
test (3.8, 2) / test	1m 38s
test (3.9, 1) / test	2m 27s
test (3.9, 2) / test	1m 43s
test-platform-compat (macos-latest) / test	3m 34s
test-platform-compat (windows-latest) / test	3m 17s
build-docs	0s
snyk	19s
codeql	5m 14s
sonar	1m 35s
	37m 7s

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