Show completion indicator on individual agent chat tabs

Feature request for product/service

Cursor IDE

Describe the request

When multiple agent conversations are open, Cursor already shows a taskbar notification when an agent finishes. However, there’s no way to tell which tab finished without clicking into each one. Please add a visual indicator (badge, dot, color change, “!”, checkmark or similar) on the specific chat tab that completed, similar to how VS Code shows unsaved-file dots on editor tabs.

Operating System (if it applies)

Windows 10/11

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