First automatic theme switch after boot from Dark Mode results in irreversible color mismatch — only manual system setting switch can fix it

### Description

After shutting down the PC while in Dark Mode and booting up again, the **very first automatic theme switch** (e.g., from Light to Dark, or just the scheduled refresh) leaves the system in a broken mixed-color state:
- Taskbar stays dark
- Start menu shows the accent color (or remains themed)
- File Explorer and other windows appear in Light Mode

Crucially, switching themes *within Auto Dark Mode* (either via the tray menu or a scheduled toggle) **cannot repair this state**. Even after multiple software switches, the broken mixture persists. The **only way to recover** is to manually open *Settings → Personalization → Colors* and switch the mode (Light/Dark) by hand. After that one manual system switch, everything returns to normal, and Auto Dark Mode works perfectly again until the next cold boot.

### Expected Behavior

### Expected Behavior
The very first automatic theme switch after boot should produce a complete, clean theme change, just as a manual system settings switch does.

### Actual Behavior
- Software-driven theme switches (automatic or manual) after boot result in a permanently broken mixed-color state.
- Only a manual toggle inside *Windows Settings* can break the loop and restore correct behavior.

### Log Data

[service.log](https://github.com/user-attachments/files/27506213/service.log)

[config.yaml](https://github.com/user-attachments/files/27506221/config.yaml)

### Commit Hash, Version and Windows Build

- Commit: `7a8d94d1`
- Service/App: `11.1.0.18`
- Updater: `4.0.3`
- Shell: `1.3.3.0`
- .Net: `9.0.11`
- Windows: `26200.8246`
- Arch: `X64`

### Screenshots / Videos