fix(webkit): stabilize inspector connections and disconnected states #293

Job	Run time
Rust lint and unit tests	1m 34s
Build integration artifacts	2m 25s
Client lint, build, and tests	35s
Packages and VS Code extension	22s
Android emulator integration	5m 52s
JS API simulator integration	5m 57s
CLI simulator integration	6m 2s
	22m 47s

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