[FEATURE] VSCode: Restore git branch name in session history picker

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

The VSCode extension session history previously displayed the git branch name for each session entry, making it easy to identify which branch a conversation was associated with. This behavior was introduced in v2.1.33.

In a recent update, the session history now shows the last message instead of the branch name. This makes it harder to locate past sessions when you remember the branch but not the exact message.

Proposed Solution

One of the following:

• Restore the branch name as the primary label in the session picker
• Show both the branch name and last message (e.g., branch as primary, message as secondary line)
• Add a setting to let users choose the display format (branch name, last message, or both)

Alternative Solutions

_No response_

Priority

Medium - Would be very helpful

Feature Category

Interactive mode (TUI)

Use Case Example

_No response_

Additional Context

Environment

• OS: Windows 11
• Claude Code VSCode Extension: [2.1.79]