Modernize Notification Style Settings Screen Using Jetpack Compose #11722

Depends on/do after: #11298
These changes will rely on the reorganization of the notification and folder settings first, so hold off on them until that work is complete to avoid conflicts and duplicated work.

The Notification Style Settings screen (under Account Settings > Sync & notifications) currently relies on an XML-based layout and PreferenceGroup for its UI. As part of our ongoing modernization and gradual transition to Jetpack Compose, this proposal suggests replacing the existing XML layout and PreferenceGroup with a fully Compose-based implementation.

Migrating this screen to Compose will reduce UI boilerplate, enhance code readability, and bring it in line with the modern Android UI practices already adopted elsewhere in the project.

🎯 Goals

• Implement the UI using Jetpack Compose.
• Use MVI in Notification Style settings.
• Ensure no regression in functionality.