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

backend/src/v1/router.py

@@ -4,6 +4,7 @@ from fastapi import APIRouter
 
 from v1.agent.router import router as agent_router
 from v1.auth.router import router as auth_router
+from v1.invite.router import router as invite_router
 from v1.notifications.router import router as notifications_router
 from v1.points.router import router as points_router
 from v1.users.router import router as users_router
@@ -12,6 +13,7 @@ from v1.users.router import router as users_router
 router = APIRouter(prefix="/api/v1")
 router.include_router(auth_router)
 router.include_router(agent_router)
+router.include_router(invite_router)
 router.include_router(notifications_router)
 router.include_router(points_router)
 router.include_router(users_router)