fix(web): thread error banner dismiss survives reconnect and rerenders - #6123

Bugbot Analysis Progress (4m 54s elapsed)

✅ Gathered PR context (8s)
✅ Completed bug detection (4m 46s)
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Final Result: Bugbot completed review - no issues found! ✅

Request ID: serverGenReqId_e402ef6c-c542-47b9-b014-e0d452c174c3