[fix] fix flaky test `TestCloseFlushWithTimer` #584

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Run time

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Job	Run time
lint	1m 37s
integration-tests (1.21)	17m 18s
build (1.21)	1m 6s
integration-tests (1.22)	18m 16s
build (1.22)	1m 9s
	39m 26s