[Feature Request] Support multiple project clones in separate sidebar tabs

Bug Description
Claude desktop app doesn't segregate different clones of one project into multiple sidebars in the tab. Multiple clones show up under the same project because they are the same git repository. Codex does it perfectly, but Claude doesn't do it. That's why I have to try out Codex. I don't love the latency, but I have to move. Terminal Chat Interface is great, but it's not the same for totally handoff tasks that I can do with the desktop app.