refactor: migrate authentication from Supabase to Better Auth and update Prisma schema models

apps/backend/src/register-routes.ts

@@ -8,13 +8,16 @@ import { planRoutes } from '@/modules/plan/plan.routes';
 import { publicBookingRoutes } from '@/modules/public-booking/public-booking.routes';
 import { sportRoutes } from '@/modules/sport/sport.routes';
 import { userRoutes } from '@/modules/user/user.routes';
+import { authRoutes } from '@/modules/auth/auth.routes';
 import type { AppEnv } from '@/types/hono';
 import type { Hono } from 'hono';
 import { serveStatic } from 'hono/bun';
 import { healthCheckRoutes } from './modules/health-check/health-check.routes';
 
 export function registerRoutes(app: Hono<AppEnv>) {
+
   app
+    .route('', authRoutes)
     .route('/api/user', userRoutes)
     .route('/api/plans', planRoutes)
     .route('/api/onboarding', onboardingRoutes)