MOBILE-181: migrate example notification center to new architecture

[sergeysozinov]

https://tracker.yandex.ru/MOBILE-181

[Copilot]

Pull request overview

This PR migrates the example app’s notification-center native bridge from legacy React Native modules/events to new-architecture TurboModule/codegen APIs across TypeScript, iOS, and Android.

Changes:

• Adds a codegen TurboModule spec for notification storage and update events.
• Replaces legacy iOS and Android notification modules with new-architecture implementations.
• Centralizes Android notification persistence and updates iOS shared App Group storage usage.

Reviewed changes

Copilot reviewed 14 out of 14 changed files in this pull request and generated no comments.

Show a summary per file

File	Description
example/exampleApp/src/screens/NotificationCenterScreen.tsx	Uses the new TurboModule API and typed event emitter.
example/exampleApp/src/native/NativeNotificationModule.ts	Defines the codegen TurboModule spec.
example/exampleApp/package.json	Adds React Native codegen configuration.
example/exampleApp/ios/NotificationModule.swift	Removes the legacy Swift event emitter module.
example/exampleApp/ios/NotificationModule.mm	Adds the iOS TurboModule implementation.
example/exampleApp/ios/NotificationModule.m	Removes the old Objective-C extern bridge.
example/exampleApp/ios/NotificationCenterStorage.swift	Adds shared notification storage helpers.
example/exampleApp/ios/MindboxNotificationServiceExtension/NotificationService.swift	Aligns the App Group suite name.
example/exampleApp/ios/exampleApp.xcodeproj/project.pbxproj	Updates iOS project references for the new files.
example/exampleApp/ios/AppDelegate.swift	Routes update notifications through NotificationCenter.
example/exampleApp/android/app/src/main/java/com/exampleapp/NotificationStorage.kt	Adds centralized Android SharedPreferences storage.
example/exampleApp/android/app/src/main/java/com/exampleapp/NotificationPackage.kt	Registers the module as a TurboReactPackage.
example/exampleApp/android/app/src/main/java/com/exampleapp/NotificationModule.kt	Implements the Android codegen TurboModule.
example/exampleApp/android/app/src/main/java/com/exampleapp/MainApplication.kt	Uses the new storage/event path when saving notifications.

---

💡 Add Copilot custom instructions for smarter, more guided reviews. Learn how to get started.