Always On Top needs a restart after settings changed

### Microsoft PowerToys version

0.100.2

### Installation method

PowerToys auto-update

### Area(s) with issue?

Always on Top

### Steps to reproduce

1. Enable Always On Top in PowerToys settings
2. Change certain settings for this applet, e.g. playing sound on activation, adding 'stay on top' in the system menu, etc.
3. You don't see the changed settings taking effect. It's running as if nothing was changed.
4. Disable and re-enable Always On Top. Now it's behaving as you ask it to.

### ✔️ Expected Behavior

The new settings should apply immediately after changing them.

### ❌ Actual Behavior

The settings only applied after a restart of Always On Top.

### Upload Bug Report ZIP-file

_No response_

### Additional Information

Windows 11 Home Chinese, version 25H2, internal OS version 26200.8875
PowerToys User Installation, running as regular user

### Other Software

_No response_

Start in the Always On Top applet and reproduce the issue by changing its settings while the applet remains enabled, then compare behavior before and after disabling and re-enabling it. Trace how settings changes are received and applied; done means options such as activation sound and the system-menu entry take effect immediately without restarting the applet.

Written by the indexing model from the issue text.