Quick link to update Q extension to the latest if is outdated

## Problem

Customers often report bugs to chat and /dev that is already fixed because the Q version used is outdated

## Expected behavior

Wondering if we can provide a quick link in the extension that goes directly to update to the latest version in Q chat.

We can sync in some placement ideas:

- Footer info
- First chat message (identify != version and provide the link to the latest)
- ...

Start by locating the Amazon Q chat extension entry point and the existing version or update handling. Review the proposed footer and first-message placements, then define the update path for outdated versions. Done means users can reach the latest Q extension update directly from the chat experience.

Written by the indexing model from the issue text.