refactor: move sidebar cache management out of archiveSession() (#578) #1415

Job	Run time
TypeCheck (Python)	50s
Build (Web)	48s
Lint & Format (Python - sandbox-runtime)	35s
Lint & Format (Python - modal-infra)	26s
Lint & Format (TypeScript)	42s
TypeCheck (TypeScript)	45s
Test (Python - modal-infra)	25s
Test (Python - sandbox-runtime)	21s
TypeCheck (Python - sandbox-runtime)	22s
Test (bots)	40s
Test (web)	47s
Test (control-plane integration)	1m 3s
Test (control-plane unit)	44s
	8m 28s

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