implemented user backups

app/lib/utils/filesystem.dart

@@ -22,9 +22,11 @@ import 'dart:convert';
 import 'dart:io';
 
 import 'package:path/path.dart' as p;
+import 'package:path_provider/path_provider.dart';
 import 'package:uuid/uuid_value.dart';
 import 'package:weblibre/core/logger.dart';
 import 'package:weblibre/domain/entities/profile.dart';
+import 'package:weblibre/extensions/iterable.dart';
 
 const profilesDirName = 'weblibre_profiles';
 const profileDirPrefix = 'profile-';
@@ -42,10 +44,54 @@ final profileTransformer =
       },
     );
 
+final profileMozillaDirectoryTransformer =
+    StreamTransformer<Directory, Directory>.fromHandlers(
+      handleData: (entity, sink) {
+        final mozillaDir = Directory(p.join(entity.path, 'mozilla'));
+
+        for (final entity in mozillaDir.listSync()) {
+          if (entity is Directory) {
+            final profile = p.basename(entity.path);
+            if (profile.endsWith('.default')) {
+              sink.add(entity);
+            }
+          }
+        }
+      },
+    );
+
 Future<List<Directory>> getAvailableProfileDirectories(Directory profilesDir) {
   return profilesDir.list().transform(profileTransformer).toList();
 }
 
+Future<void> clearMozillaProfileCache(String profileId) async {
+  final cacheDir = await getApplicationCacheDirectory();
+  final mozillaCacheDir = Directory(p.join(cacheDir.path, profileId));
+
+  if (await mozillaCacheDir.exists()) {
+    await mozillaCacheDir.delete(recursive: true);
+  }
+}
+
+Future<List<Directory>> getProfilesWithDuplicateMozillaProfiles(
+  Directory profilesDir,
+) async {
+  final mozillaProfileDirs = await profilesDir
+      .list()
+      .transform(profileTransformer)
+      .transform(profileMozillaDirectoryTransformer)
+      .toList();
+
+  final duplicates = mozillaProfileDirs
+      .map((dir) => p.basename(dir.path))
+      .findDuplicates()
+      .toSet();
+
+  return mozillaProfileDirs
+      .where((dir) => duplicates.contains(p.basename(dir.path)))
+      .toList();
+}
+
 Future<UuidValue?> readStartupProfile(Directory dir) async {
   final file = File(p.join(dir.path, _startupProfileFileName));