feat: opt-in sync of deletes and restores from web to Android (#16732)

* Features: Local file movement to trash and restoration back to the album added. (Android)

* Comments fixes

* settings button marked as [EXPERIMENTAL]

* _moveToTrashMatchedAssets refactored, moveToTrash renamed.

* fix: bad merge

* Permission check and request for local storage added.

* Permission request added on settings switcher

* Settings button logic changed

* Method channel file_trash moved to BackgroundServicePlugin

---------

Co-authored-by: Alex <alex.tran1502@gmail.com>

mobile/lib/utils/local_files_manager.dart

@@ -0,0 +1,39 @@
+import 'package:flutter/foundation.dart';
+import 'package:flutter/services.dart';
+
+class LocalFilesManager {
+  static const MethodChannel _channel = MethodChannel('file_trash');
+
+  static Future<bool> moveToTrash(String fileName) async {
+    try {
+      final bool success =
+          await _channel.invokeMethod('moveToTrash', {'fileName': fileName});
+      return success;
+    } on PlatformException catch (e) {
+      debugPrint('Error moving to trash: ${e.message}');
+      return false;
+    }
+  }
+
+  static Future<bool> restoreFromTrash(String fileName) async {
+    try {
+      final bool success = await _channel
+          .invokeMethod('restoreFromTrash', {'fileName': fileName});
+      return success;
+    } on PlatformException catch (e) {
+      debugPrint('Error restoring file: ${e.message}');
+      return false;
+    }
+  }
+
+  static Future<bool> requestManageStoragePermission() async {
+    try {
+      final bool success =
+          await _channel.invokeMethod('requestManageStoragePermission');
+      return success;
+    } on PlatformException catch (e) {
+      debugPrint('Error requesting permission: ${e.message}');
+      return false;
+    }
+  }
+}