[FEATURE] VS Code extension: retrieve sessions from a different projects/windows

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

There is no equivalent of terminal Ctrl-W/Ctrl-A in VS Code extension.

Use case: I start a session but then production issue comes up and I want to move this session to a different worktree/branch/window.

Proposed Solution

Port Ctrl-W/Ctrl-A functionality from terminal Claude Code

Alternative Solutions

_No response_

Priority

Critical - Blocking my work

Feature Category

CLI commands and flags

Use Case Example

_No response_

Additional Context

_No response_