[CmdPal] Add system tray menu (#39155)

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## Summary of the Pull Request

<img width="151" alt="image"
src="https://github.com/user-attachments/assets/994c06d0-e28f-4fa4-a8fe-043ec179ee82"
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## PR Checklist

- [x] **Closes:** #38303
- [ ] **Communication:** I've discussed this with core contributors
already. If work hasn't been agreed, this work might be rejected
- [ ] **Tests:** Added/updated and all pass
- [ ] **Localization:** All end user facing strings can be localized
- [ ] **Dev docs:** Added/updated
- [ ] **New binaries:** Added on the required places
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signing](https://github.com/microsoft/PowerToys/blob/main/.pipelines/ESRPSigning_core.json)
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- [ ] [WXS for
installer](https://github.com/microsoft/PowerToys/blob/main/installer/PowerToysSetup/Product.wxs)
for new binaries and localization folder
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- [ ] **Documentation updated:** If checked, please file a pull request
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## Detailed Description of the Pull Request / Additional comments

- Move all system tray related code from main window code behind to a
dedicated service
- Add system tray menu

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wherever possible, but list manual validation steps taken as well -->
## Validation Steps Performed

Manually tested:

- Started CmdPal with tray icon enabled
- Started CmdPal with tray icon disabled
- Enabled/Disabled tray icon
- Tested tray menu commands
- Verified that the tray icon is visible after restarting explorer.exe

src/modules/cmdpal/Microsoft.CmdPal.UI/NativeMethods.txt

@@ -35,9 +35,14 @@ WM_WINDOWPOSCHANGING
 RegisterWindowMessageW
 GetModuleHandleW
 ExtractIconEx
+TRACK_POPUP_MENU_FLAGS
+WM_COMMAND
 WM_RBUTTONUP
 WM_LBUTTONUP
 WM_LBUTTONDBLCLK
+CreatePopupMenu
+TrackPopupMenuEx
+InsertMenu
 
 MessageBox
 DwmGetWindowAttribute