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/settings/data/repositories/invite_repository.dart

@@ -0,0 +1,17 @@
+import '../apis/invite_api.dart';
+import '../models/my_invite_code.dart';
+
+abstract class InviteRepository {
+  Future<MyInviteCode> getMyInviteCode();
+}
+
+class InviteRepositoryImpl implements InviteRepository {
+  InviteRepositoryImpl({required InviteApi inviteApi}) : _inviteApi = inviteApi;
+
+  final InviteApi _inviteApi;
+
+  @override
+  Future<MyInviteCode> getMyInviteCode() {
+    return _inviteApi.getMyInviteCode();
+  }
+}