[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

I frequently copy content from the Claude window for documentation, but it loses all formatting, including Headers, bulleted lists, code and code blocks.

Not only is this a waste, but it means I need to instruct Claude to create the markdown files, which doesn't contain exactly the information I want, is 10x longer, and consumes a lot of context.

Proposed Solution

Right click copy markdown, or SHIFT+CTRL+C, or preferably-

Automatically copy as markdown when you cross markdown boundaries, e.g. a heading + a code block.

Alternative Solutions

_No response_

Priority

High - Significant impact on productivity

Feature Category

Interactive mode (TUI)

Use Case Example

Example content that I simply want to copy-as-markdown;

<img width="888" height="1464" alt="Image" src="https://github.com/user-attachments/assets/d9553abd-c3c8-4b1d-9a13-87e004ee7238" />

Additional Context

_No response_