[BUG] Visual Studio Code "Chat": Conversation name in Sessions tab doesn't update after `/rename`

Preflight Checklist

• [x] I have searched existing issues and this hasn't been reported yet
• [x] This is a single bug report (please file separate reports for different bugs)
• [x] I am using the latest version of Claude Code

What's Wrong?

When you rename a conversation using /rename, the conversation tab name updates correctly, but the same conversation still shows the old name in the Sessions sidebar.

What Should Happen?

The Sessions tab should reflect the new conversation name immediately after renaming.

Error Messages/Logs

Steps to Reproduce

1. Open Claude Code in VS Code
2. Start or open a conversation
3. Run /rename and give it a new name (e.g., "My Task")
4. Check the Sessions tab on the right sidebar
5. Observe: Tab shows "My Task", but Sessions tab shows the old/generic name

Claude Model

Sonnet (default)

Is this a regression?

I don't know

Last Working Version

_No response_

Claude Code Version

2.1.133

Platform

Anthropic API

Operating System

macOS

Terminal/Shell

Other

Additional Information

Visual Studio Code Version: 1.115.0