Auto changed theme is typically partial in multi monitor setup

### Description

When the theme changes, typically the one thing that fails to change is the taskbar in my secondary monitor
However, when I right-click ADM's icon tray and then "Try to fix the theme”, it does work

### Expected Behavior

The taskbar should also change

### Log Data

[service.log](https://github.com/user-attachments/files/24615315/service.log)

### Commit Hash, Version and Windows Build

- Commit: `5678573e`
- Service/App: `11.0.0.54`
- Updater: `4.0.3`
- Shell: `1.3.3.0`
- .Net: `9.0.8`
- Windows: `26200.7462`
- Arch: `X64`

### Screenshots / Videos
The secondary monitor is on the left

Start by reproducing the automatic theme change with a secondary monitor positioned on the left, then review the attached service.log and compare the behavior with the manual “Try to fix the theme” action. Done means the secondary monitor’s taskbar changes theme reliably during automatic switches, matching the primary monitor.

Written by the indexing model from the issue text.