[FEATURE] VS Code extension: open any claude response as .md (mouseover+click or ctrl+click)

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

Often claude delivers a response that it does not put in a plan .md file, and often there will be a tangential issue that needs sorting out before I need to return to an earlier fairly extensive claude response to continue addressing its contents.

Sometimes these are not available at all after a compaction + window reload (without sifting through the compaction's json, i.e. not by a simple scroll action).

Other times they're available but while I wait for claude to work, scrolling to the earlier message to resume reading is continually interrupted by claude's latest incoming responses/noodling/etc.

And either way sometimes it'd be nice to be able to copy markdown into GitHub comments, etc.

Proposed Solution

It'd be great if there were a simple mechanism like "ctrl+click any claude response" to open that response's raw .md in an editor pane alongside project files (typically Group 1 in my codium layout) so I can then:

1. keep a preview of it open, letting me read while claude continues to work
2. copy markdown from it freely
3. not lose it due to compaction or codium reloads

Alternative Solutions

I can copy the text directly, but its formatting gets messed up if I paste it in a plain-text window within codium. I suppose I could use a beefier program like LibreOffice to paste rich text into, but it's pretty kludgy and requires more programs being open, detracting from codium's integrated layout advantages which would let me view it alongside claude without having to temporarily re-tile windows.

Priority

Medium - Would be very helpful

Feature Category

Developer tools/SDK

Use Case Example

As described above.

Additional Context

Ctrl+click is my preference, but a button that appears on message mouseover would work too.

Not critical but a low-effort addition with significant quality-of-life improvements.