Ensure SharedAssetDepot stays alive while lock is held #3005

Job	Run time
Documentation	27s
Linting	15m 35s
Quick Checks	12s
ubuntu-22.04 / gcc / Debug	5m 21s
windows-2022 / Debug	7m 5s
windows-2022 / RelWithDebInfo	7m 35s
ubuntu-22.04 / gcc / RelWithDebInfo	10m 37s
ubuntu-20.04 / clang / Debug	5m 11s
ubuntu-20.04 / clang / RelWithDebInfo	6m 17s
macos-13 / clang / Debug	7m 44s
macos-13 / clang / RelWithDebInfo	7m 26s
	1h 13m 30s

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