Feature request: Register Claude Code as a native agent provider in VS Code's Chat/Agents view

Summary

Please make the Claude Code VS Code extension register as a provider in VS Code's built-in Chat / Agents view (the "Agents" entry top-right), the same way GitHub Copilot appears, so Claude models (e.g. Opus 4.8) are selectable in that native picker.

Current behavior

Claude Code runs in its own separate panel with its own chat UI and /model switching. It does not appear in VS Code's native Agents window. When users open a session from that window, the model picker only lists Copilot-provided models, so it looks like "Claude isn't supported" and prompts there don't route to Claude Code.

Desired behavior

• Claude Code shows up as a first-class agent/model option in VS Code's native Chat/Agents view, alongside Copilot.
• Users can pick a Claude model from that unified picker and prompt Claude without leaving the standard VS Code chat surface.
• Ideally built on VS Code's chat-session / language-model provider APIs for native integration.

Why it matters

• Lower friction and less confusion (users currently assume Claude is unsupported).
• Consistency with the Copilot workflow developers already use.
• Keeps Claude Code's advanced features (terminal, MCP, hooks, sub-agents) while meeting users where they already are.

Environment

• OS: Windows 11
• VS Code + Claude Code extension (authenticated and working in its own panel; confirmed via logs)