WIP: feat(ui): Migrate to new UI implementation

lib/app/home_screen/bloc/home_screen_model.dart

@@ -1,5 +1,6 @@
 import 'package:flutter/foundation.dart';
 import 'package:moonwell_launcher/features/downloader/domain/entities/download_progress.dart';
+import 'package:moonwell_launcher/features/launcher/domain/entities/client_sync_status.dart';
 import 'package:moonwell_launcher/features/launcher/domain/entities/launcher_news_item.dart';
 
 enum HomeScreenPhase {
@@ -31,6 +32,7 @@ final class HomeScreenModel {
   final List<LauncherNewsItem> newsItems;
   final bool isLoadingNews;
   final String? newsErrorMessage;
+  final ClientSyncStage? syncStage;
 
   const HomeScreenModel({
     required this.progress,
@@ -48,6 +50,7 @@ final class HomeScreenModel {
     required this.newsItems,
     required this.isLoadingNews,
     required this.newsErrorMessage,
+    required this.syncStage,
   });
 
   const HomeScreenModel.initial()
@@ -65,7 +68,8 @@ final class HomeScreenModel {
       totalFiles = 0,
       newsItems = const <LauncherNewsItem>[],
       isLoadingNews = true,
-      newsErrorMessage = null;
+      newsErrorMessage = null,
+      syncStage = null;
 
   bool get isBusy =>
       phase == HomeScreenPhase.authenticating ||
@@ -91,6 +95,7 @@ final class HomeScreenModel {
     List<LauncherNewsItem>? newsItems,
     bool? isLoadingNews,
     Object? newsErrorMessage = _sentinel,
+    Object? syncStage = _sentinel,
   }) {
     return HomeScreenModel(
       progress: progress ?? this.progress,
@@ -120,6 +125,9 @@ final class HomeScreenModel {
       newsErrorMessage: newsErrorMessage == _sentinel
           ? this.newsErrorMessage
           : newsErrorMessage as String?,
+      syncStage: syncStage == _sentinel
+          ? this.syncStage
+          : syncStage as ClientSyncStage?,
     );
   }
 }