fix: preserve SQLite busy timeout when connections reopen #1266

Job	Run time
Build (ws-carrier/arm64)	1m 29s
Build (windshift-runner/arm64)	2m 7s
Build (windshift-runner/amd64)	2m 40s
Build (windshift/arm64)	3m 43s
Build (windshift/amd64)	4m 41s
Build (ws-carrier/amd64)	1m 56s
Merge Manifests (windshift)	1m 24s
Merge Manifests (ws-carrier)	49s
Merge Manifests (windshift-runner)	50s
	19m 39s

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