[FEATURE] Allow VSCode Extension for Delete Chat History, Not Just Archive

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

Unable to delete Claude Code VSCode Chat Extension Chat Thread history. Currently the extension only allows Archiving Chat Threads.

Proposed Solution

Return the ability to Delete Chat Thread

Alternative Solutions

_No response_

Priority

Medium - Would be very helpful

Feature Category

CLI commands and flags

Use Case Example

_No response_

Additional Context

I usually create new chat sessions in VSCode's Claude Code chat extension. They pile up. Recent update no longer allows me to delete conversation threads. I want to delete conversation threads since Archive is resulting in clutter. I also need this to ensure no context bleeds from past chat history. I also want this for privacy purposes.