Flakes: Address flakiness in TestZkConnClosedOnDisconnect (#17194) #422

Job	Run time
Build and push lite (latest)	4m 10s
Build and push lite (percona80)	4m 14s
Build and push vttestserver (mysql80)	2m 26s
Build and push (bullseye, vtadmin)	1m 19s
Build and push (bullseye, vtorc)	47s
Build and push (bullseye, vtgate)	48s
Build and push (bullseye, vttablet)	42s
Build and push (bullseye, mysqlctld)	48s
Build and push (bullseye, mysqlctl)	46s
Build and push (bullseye, vtctl)	41s
Build and push (bullseye, vtctlclient)	47s
Build and push (bullseye, vtctld)	1m 43s
Build and push (bullseye, vtctldclient)	51s
Build and push (bullseye, logrotate)	31s
Build and push (bullseye, logtail)	35s
Build and push (bullseye, vtbackup)	46s
Build and push (bullseye, vtexplain)	45s
Build and push (bookworm, vtadmin)	1m 27s
Build and push (bookworm, vtorc)	43s
Build and push (bookworm, vtgate)	41s
Build and push (bookworm, vttablet)	51s
Build and push (bookworm, mysqlctld)	53s
Build and push (bookworm, mysqlctl)	41s
Build and push (bookworm, vtctl)	43s
Build and push (bookworm, vtctlclient)	45s
Build and push (bookworm, vtctld)	1m 36s
Build and push (bookworm, vtctldclient)	42s
Build and push (bookworm, logrotate)	37s
Build and push (bookworm, logtail)	29s
Build and push (bookworm, vtbackup)	1m 0s
Build and push (bookworm, vtexplain)	49s
Slack Notification if failed	0s
	34m 36s

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