[FEATURE] Export to Github Gist

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 often share Claude Code sessions with teammates by first exporting to a file and then running gh gist create <filename> and sharing the link. It would be nice if claude code could do this E2E directly from claude code itself.

While it is a fairly narrow usecase, it would be a meaningful QOL feature for folks.

Proposed Solution

This could look like
1) A third option in /export to export to Github Gist (possibly only when that gh is authenticated)
2) Selecting this does the exporting in the background and gives me the gist link I can share. (eg. by exporting to a temp file and invoking the gh cli)

Alternative Solutions

_No response_

Priority

Low - Nice to have

Feature Category

Interactive mode (TUI)

Use Case Example

_No response_

Additional Context

_No response_