[Bug]: Splashscreen theme doesn't change after switching the color theme

### Is there an existing issue for this?

- [X] I have searched the existing issues

### Is there a StackOverflow question about this issue?

- [X] I have searched StackOverflow

### What happened?

Changing the theme from the application settings does not update the theme used on the splash screen.

Steps to reproduce:
* When using a light system theme
* Tap on the settings icon and set the application theme to dark
* Close the application, start it again (with the cold start) and note the splash screen

Expected result:
Splash screen should be in dark mode

Actual result:
Light splash screen switches to a dark screen of the application.

I think that UiModeManager#setApplicationNightMode should also be called on saving the theme settings as it is described in ["Implement dark theme"](https://developer.android.com/develop/ui/views/theming/darktheme#change-themes)

### Relevant logcat output

_No response_

### Code of Conduct

- [X] I agree to follow this project's Code of Conduct

Start at the application settings path that saves the selected theme and compare it with Android's UiModeManager#setApplicationNightMode guidance linked in the issue. Reproduce the cold-start sequence with a light system theme and a saved dark application theme. Done means the splash screen uses dark mode consistently with the application after restart.

Written by the indexing model from the issue text.