refactor: VTGate executor with a runnable context package (#17305) #478

Job	Run time
Build and push lite (latest)	4m 36s
Build and push vttestserver (mysql80)	2m 31s
Build and push lite (percona80)	4m 42s
Build and push (bullseye, vtadmin)	1m 24s
Build and push (bullseye, vtorc)	44s
Build and push (bullseye, vtgate)	53s
Build and push (bullseye, vttablet)	49s
Build and push (bullseye, mysqlctld)	49s
Build and push (bullseye, mysqlctl)	45s
Build and push (bullseye, vtctl)	52s
Build and push (bullseye, vtctlclient)	33s
Build and push (bullseye, vtctld)	1m 30s
Build and push (bullseye, vtctldclient)	45s
Build and push (bullseye, logrotate)	23s
Build and push (bullseye, logtail)	34s
Build and push (bullseye, vtbackup)	54s
Build and push (bullseye, vtexplain)	49s
Build and push (bookworm, vtadmin)	1m 34s
Build and push (bookworm, vtorc)	47s
Build and push (bookworm, vtgate)	49s
Build and push (bookworm, vttablet)	56s
Build and push (bookworm, mysqlctld)	50s
Build and push (bookworm, mysqlctl)	49s
Build and push (bookworm, vtctl)	55s
Build and push (bookworm, vtctlclient)	1m 1s
Build and push (bookworm, vtctld)	1m 39s
Build and push (bookworm, vtctldclient)	55s
Build and push (bookworm, logrotate)	35s
Build and push (bookworm, logtail)	31s
Build and push (bookworm, vtbackup)	38s
Build and push (bookworm, vtexplain)	53s
Slack Notification if failed	0s
	36m 25s

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