[Feature Request] Detach session into its own window for multi-monitor workflows

Summary

Allow each Claude Code session in the Desktop app to be opened in a separate, independent window (like a Finder window on macOS) so users can place sessions across multiple monitors.

Current behavior

All sessions live inside a single Desktop app window, accessible only via the left sidebar tab list. There is no way to:

• Pop a session out into its own window
• Drag a tab onto a different monitor
• Keep two sessions visible simultaneously without split-screen tricks

Why this matters — real workflow

I routinely work across multiple repos in parallel. A typical setup:

• Main repo session (e.g. docs/PM workspace)
• Sub-repo A session (e.g. frontend)
• Sub-repo B session (e.g. landing page)

Each session has long-running context, tool output, and diffs I want to keep visible. With a single window I have to constantly switch tabs and lose the ability to glance between them.

Today I work around this by running claude in a terminal on a second monitor AND opening claude.ai/code on a third. That works, but the UX is inconsistent across the three clients (shortcuts, session history, tool approvals all differ).

Desired behavior

• Right-click a session tab → Open in New Window
• Or drag a tab out of the sidebar, like Chrome/Safari tabs, to create a new window
• New window should be a fully functional Claude Code instance (permissions, tools, approvals work independently)
• Each window can be moved to a different display/Space via standard macOS window management
• Session state remains in sync if the same session is opened in two places (or at minimum, prevent simultaneous edits from causing conflicts)

Reference UX

• Chrome / Safari: drag tab out to detach
• Slack: Open conversation in new window
• VS Code: Window → Move Window to New Display
• Finder: each window is independent

Platform

• macOS (primary); ideally also Windows/Linux when Desktop launches there

Alternatives considered

• Mission Control / Spaces: only moves the whole app, not individual sessions
• Running CLI + web + Desktop in parallel: works but fragments UX
• Multiple app instances: not currently possible

Thanks — really enjoying the parallel-session redesign so far; this one addition would unlock far more screen real estate for heavy multi-repo users.