feat: integrate invite API and improve notification handling

- Add invite code display and binding functionality via API
- Fix notification unread count sync on auth state change
- Improve notification mark read with server state validation
- Add auth state listener to trigger notification refresh
- Add YaoCoinConverter for coin-to-yao type conversion
- Remove YaoLegend from divination screens (UI cleanup)
- Abbreviate relation labels in yao detail view
- Add re-register notice to account delete screen
- Update 'coins' terminology to 'points' in localization
- Fix backend points consumption to only run in CHAT mode
- Add HttpxAuthNoiseFilter to suppress auth endpoint logging
- Fix notification static_schema import path
- Add test coverage for notification bloc error handling
- Update AGENTS.md page header rules and image handling
- Delete deprecated run-dev.sh script

apps/lib/features/home/presentation/screens/home_screen.dart

@@ -3,6 +3,7 @@ import 'dart:async';
 import 'package:flutter/material.dart';
 
 import '../../../../core/auth/session_store.dart';
+import '../../../../data/network/api_client.dart';
 import '../../../divination/presentation/screens/divination_screen.dart';
 import '../../../divination/presentation/screens/divination_result_screen.dart';
 import '../../../divination/data/apis/divination_api.dart';
@@ -11,8 +12,11 @@ import '../../../divination/data/models/divination_result.dart';
 import '../../../notifications/data/repositories/notification_repository.dart';
 import '../../../notifications/presentation/bloc/notification_bloc.dart';
 import '../../../notifications/presentation/screens/notification_center_screen.dart';
+import '../../../settings/data/apis/invite_api.dart';
 import '../../../settings/data/models/profile_settings.dart';
+import '../../../settings/data/repositories/invite_repository.dart';
 import '../../../settings/presentation/screens/settings_screen.dart';
+import '../../../../app/di/injection.dart';
 import '../../../../l10n/app_localizations.dart';
 import '../../../../shared/theme/app_color_palette.dart';
 import '../../../../shared/theme/design_tokens.dart';
@@ -68,10 +72,18 @@ class HomeScreen extends StatefulWidget {
 
 class _HomeScreenState extends State<HomeScreen> {
   MainTab _currentTab = MainTab.home;
+  late final InviteRepository _inviteRepository;
 
   @override
   void initState() {
     super.initState();
+    final inviteApi = InviteApi(
+      apiClient: ApiClient(
+        baseUrl: appDependencies.backendUrl,
+        tokenProvider: widget.sessionStore.getToken,
+      ),
+    );
+    _inviteRepository = InviteRepositoryImpl(inviteApi: inviteApi);
     WidgetsBinding.instance.addPostFrameCallback((_) {
       _tryShowWelcomeDialog();
     });
@@ -120,6 +132,7 @@ class _HomeScreenState extends State<HomeScreen> {
             account: widget.account,
             settings: widget.profileSettings,
             coinBalance: widget.coinBalance,
+            inviteRepository: _inviteRepository,
             onLocaleChanged: widget.onLocaleChanged,
             onSettingsChanged: widget.onProfileSettingsChanged,
             onSaveProfile: widget.onSaveProfile,
@@ -209,6 +222,11 @@ class _HomeTab extends StatelessWidget {
                         MaterialPageRoute<void>(
                           builder: (_) => NotificationCenterScreen(
                             repository: notificationRepository,
+                            onUnreadCountChanged: () {
+                              return notificationBloc.handleEvent(
+                                RefreshUnreadCount(),
+                              );
+                            },
                           ),
                         ),
                       );
@@ -532,6 +550,7 @@ class _ProfileTab extends StatelessWidget {
     required this.account,
     required this.settings,
     required this.coinBalance,
+    required this.inviteRepository,
     required this.onLocaleChanged,
     required this.onSettingsChanged,
     required this.onSaveProfile,
@@ -543,6 +562,7 @@ class _ProfileTab extends StatelessWidget {
   final String account;
   final ProfileSettingsV1 settings;
   final int coinBalance;
+  final InviteRepository inviteRepository;
   final Future<void> Function(String languageTag) onLocaleChanged;
   final Future<void> Function(ProfileSettingsV1 settings) onSettingsChanged;
   final Future<ProfileSettingsV1> Function(ProfileSettingsV1 updated)
@@ -557,6 +577,7 @@ class _ProfileTab extends StatelessWidget {
       account: account,
       settings: settings,
       coinBalance: coinBalance,
+      inviteRepository: inviteRepository,
       onInterfaceLanguageChanged: onLocaleChanged,
       onSettingsChanged: onSettingsChanged,
       onSaveProfile: onSaveProfile,