[FEATURE] Delete and Rename Chats (VS Code 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

Please add the option to delete and rename the chats from the 'past conversation' menu. Currently, there is no option to rename or delete the chats, which makes it really difficult to manage them.
<img width="283" height="312" alt="Image" src="https://github.com/user-attachments/assets/a23cab63-406a-4ff3-b6fd-073a9e4b0fe1" />
Thank you.

Proposed Solution

A delete icon next to each chat, and an option to rename it.

Alternative Solutions

_No response_

Priority

High - Significant impact on productivity

Feature Category

Configuration and settings

Use Case Example

_No response_

Additional Context

_No response_