[FEATURE] Ability to rename conversations in the VS Code sidebar

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 have several conversations going. Using the CLI in VS code (which is broken at this point! But that's another, known issue), it is easy and very useful to rename conversations.

Proposed Solution

A rename icon next to each conversation title in the VS Code side-bar. The same possibility should be easy to implement in the sidebar, which is a better-looking UI overall than the CLI version.

Alternative Solutions

_No response_

Priority

Medium - Would be very helpful

Feature Category

Other

Use Case Example

1. I start a conversation with 'This is code I wrote, please check for syntax errors: ``...``
2. When searching for the conversation, the title is 'This is code I wrote, please...'. That is obviously too generic.
3. I know what the conversation really is about so I rename the title to 'Verifying syntax for Bitcoin wallet code.'
4. Next time I need to go back to that conversation I can spot it quickly in the conversations list.

Additional Context

<img width="403" height="237" alt="Image" src="https://github.com/user-attachments/assets/7d306ef2-75aa-4d3d-a9e3-0395b5a695f5" />

This is what it looks like now. I would like a rename icon (pencil for ex.) on the right side.