Full app rebuild: FastAPI backend + React Native mobile with auth, championships, admin

Backend (FastAPI + SQLAlchemy + SQLite):
- JWT auth with access/refresh tokens, bcrypt password hashing
- User model with member/organizer/admin roles, auto-approve members
- Championship, Registration, ParticipantList, Notification models
- Alembic async migrations, seed data with test users
- Registration endpoint returns tokens for members, pending for organizers
- /registrations/my returns championship title/date/location via eager loading
- Admin endpoints: list users, approve/reject organizers

Mobile (React Native + Expo + TypeScript):
- Zustand auth store, Axios client with token refresh interceptor
- Role-based registration (Member vs Organizer) with contextual form labels
- Tab navigation with Ionicons, safe area headers, admin tab for admin role
- Championships list with status badges, detail screen with registration progress
- My Registrations with championship title, progress bar, and tap-to-navigate
- Admin panel with pending/all filter, approve/reject with confirmation
- Profile screen with role badge, Ionicons info rows, sign out
- Password visibility toggle (Ionicons), keyboard flow hints (returnKeyType)

Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>

backend/app/routers/__init__.py

@@ -0,0 +1,3 @@
+from app.routers import auth, championships, registrations, participant_lists, users
+
+__all__ = ["auth", "championships", "registrations", "participant_lists", "users"]