Fix shared WebView task manager attribution - #4047

Bugbot Analysis Progress (4m 42s elapsed)

✅ Gathered PR context (3s)
✅ Completed bug detection (4m 39s)
✅ Posted analysis results (1s)

Final Result: Bugbot completed review - no issues found! ✅

Request ID: serverGenReqId_e589f9bd-5319-4914-9591-959761d5a2c5