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/models/my_invite_code.dart

@@ -0,0 +1,6 @@
+class MyInviteCode {
+  const MyInviteCode({required this.code, required this.usedCount});
+
+  final String code;
+  final int usedCount;
+}