Fix a potential connection pool leak. (#17807) #668

Job	Run time
Build and push vttestserver (mysql80)	2m 48s
Build and push lite (latest)	4m 57s
Build and push vttestserver (mysql84)	2m 47s
Build and push lite (mysql84)	4m 50s
Build and push lite (percona80)	4m 41s
Build and push (bullseye, vtadmin)	1m 31s
Build and push (bullseye, vtorc)	1m 15s
Build and push (bullseye, vtgate)	56s
Build and push (bullseye, vttablet)	1m 11s
Build and push (bullseye, mysqlctld)	46s
Build and push (bullseye, mysqlctl)	1m 2s
Build and push (bullseye, vtctl)	54s
Build and push (bullseye, vtctlclient)	1m 5s
Build and push (bullseye, vtctld)	1m 50s
Build and push (bullseye, vtctldclient)	1m 5s
Build and push (bullseye, logrotate)	44s
Build and push (bullseye, logtail)	34s
Build and push (bullseye, vtbackup)	1m 4s
Build and push (bullseye, vtexplain)	1m 2s
Build and push (bookworm, vtadmin)	1m 51s
Build and push (bookworm, vtorc)	1m 22s
Build and push (bookworm, vtgate)	1m 18s
Build and push (bookworm, vttablet)	1m 14s
Build and push (bookworm, mysqlctld)	59s
Build and push (bookworm, mysqlctl)	1m 16s
Build and push (bookworm, vtctl)	1m 14s
Build and push (bookworm, vtctlclient)	1m 15s
Build and push (bookworm, vtctld)	1m 57s
Build and push (bookworm, vtctldclient)	1m 19s
Build and push (bookworm, logrotate)	1m 2s
Build and push (bookworm, logtail)	57s
Build and push (bookworm, vtbackup)	1m 14s
Build and push (bookworm, vtexplain)	1m 9s
Slack Notification if failed	0s
	53m 9s

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