[FEATURE] Allow copy-as-markdown from the Claude VSCode Extension

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

The Claude Code VS Code extension has no way to copy a response with formatting preserved (or copy to markdown). Selecting text and pressing Cmd/Ctrl+C turns formatted text into plain text, forcing users to switch to claude.ai or manually re-format whenever they want to paste a response into a Markdown-aware destination like GitHub, Linear, or Notion.

This was requested several times (https://github.com/anthropics/claude-code/issues/16268 and https://github.com/anthropics/claude-code/issues/12413) but closed due to inactivity. Third times a charm!

Proposed Solution

Add a Copy icon to each assistant message that writes the raw Markdown source to the clipboard, matching claude.ai's behavior.

Alternative Solutions

_No response_

Priority

Medium - Would be very helpful

Feature Category

Other

Use Case Example

_No response_

Additional Context

_No response_