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/divination/data/models/yao_coin_converter.dart

@@ -0,0 +1,19 @@
+import 'divination_params.dart';
+
+class YaoCoinConverter {
+  const YaoCoinConverter._();
+
+  static YaoType fromHuaCount(int huaCount) {
+    return switch (huaCount) {
+      0 => YaoType.oldYin,
+      1 => YaoType.youngYang,
+      2 => YaoType.youngYin,
+      3 => YaoType.oldYang,
+      _ => throw ArgumentError.value(huaCount, 'huaCount', 'must be 0..3'),
+    };
+  }
+
+  static YaoType fromZiCount(int ziCount) {
+    return fromHuaCount(3 - ziCount);
+  }
+}