[FEATURE] please add claude as copilot model to vscode with LanguageModelChatProvider

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

Since vscode now support registerLanguageModelChatProvider https://code.visualstudio.com/api/extension-guides/ai/language-model-chat-provider

I want to use claude with that copilot ui because it has more tools and better ui than claude chat

Claude chat just not utilize vscode properly and that was frustrating

Proposed Solution

Integrate registerLanguageModelChatProvider into claude vscode extension and harness copilot chat response format

Alternative Solutions

Making use of all feature vscode provide for chat (such as diff edit asking) and make chat ui closer to vscode copilot that

Priority

High - Significant impact on productivity

Feature Category

Developer tools/SDK

Use Case Example

Using claude in vscode the chat panel way

Additional Context

_No response_