[FEATURE] Add worktree directories to Claude session search on VS Code open

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

If I create a new Claude session, enter a new worktree, and do some work, I lose the ability to resume the session when I restart VS Code.

Looks like the extension searches inside my workspace root (ex: /home/user/foo) and not inside the child worktrees (ex: /home/user/foo/.claude/worktrees/**) to find sessions.

Proposed Solution

Just add the workspace root's .claude/worktrees/** to the paths that the extension uses when looking for Claude sessions.

Alternative Solutions

The 2 terrible workarounds are:

1. Open the worktree itself as a workspace and resume session.
2. Dump conversation history from worktree into a .md file so that another Claude session can use it to resume from main worktree's workspace.

Priority

High - Significant impact on productivity

Feature Category

API and model interactions

Use Case Example

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Additional Context

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