[Task] System tray on Windows

[shellen]

Part of: [Epic] Add Windows support (#66)

Summary

Verify and configure Tauri v2 system tray on Windows. The macOS menu bar app paradigm maps to system tray naturally.

Notes

• Tauri v2 system tray works on Windows
• Main work is testing that the tray icon, menus, and interactions behave correctly
• May need Windows-specific icon format (.ico)

Acceptance Criteria

• System tray icon displays on Windows
• Tray menu items work correctly
• Click/double-click behavior matches Windows conventions
• Icon format compatible with Windows (.ico if needed)

Estimate: ~0.5 day (mostly testing)
Priority: Nice-to-have