[FEATURE] Change claude code tab icon color while the tab is clauding.

Preflight Checklist

• [x] I have searched existing requests and this feature hasn't been requested yet
• [x] This is a single feature request (not multiple features)

Problem Statement

Can you Change claude code tab icon color in vscode while the tab is clauding ?
TY

Proposed Solution

I don't know the source of claude code tabs so I can't suggest the code but, you are changing the world, so, change the color of an icon must be easy for you ;)

Alternative Solutions

_No response_

Priority

High - Significant impact on productivity

Feature Category

Developer tools/SDK

Use Case Example

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Additional Context

_No response_