Connect frontend to real API — rooms, bookings, housekeeping, calendar

- src/lib/api.ts: central API client with JWT auto-refresh, snake_case→camelCase transform
- src/contexts/AuthContext.tsx: real login via POST /api/auth/login
- src/pages/RoomsPage.tsx: load rooms from API, create/update via API
- src/pages/BookingsPage.tsx: load bookings + rooms from API
- src/pages/HousekeepingPage.tsx: load today's tasks from API, update status via API
- src/pages/CalendarPage.tsx: load rooms + bookings from API
- src/types/index.ts: fix HousekeepingTask.priority to match DB (medium/urgent)
- backend/src/routes/rooms.ts: update to use new column names (max_guests, base_rate) + all new fields
- backend/src/routes/bookings.ts: update price_per_night→base_rate, add paid_amount to PATCH
- backend/migrations/003_fix_constraints.sql: fix rooms.status values, add paid_amount, inquiry status, other source
- public/robots.txt + index.html: noindex for SPA inner pages

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

backend/src/routes/bookings.ts

@@ -117,7 +117,7 @@ const bookings: FastifyPluginAsync = async (fastify) => {
       if (!hotelId) return reply.code(404).send({ error: 'Hotel not found' })
 
       const { rows } = await db.query(
-        `SELECT b.*, r.number AS room_number, r.type AS room_type, r.price_per_night
+        `SELECT b.*, r.number AS room_number, r.type AS room_type, r.base_rate
            FROM bookings b
            JOIN rooms r ON r.id = b.room_id
           WHERE b.id = $1 AND b.hotel_id = $2`,
@@ -144,7 +144,7 @@ const bookings: FastifyPluginAsync = async (fastify) => {
       if (!hotelId) return reply.code(404).send({ error: 'Hotel not found' })
 
       const allowed = ['guest_name','guest_email','guest_phone','check_in','check_out',
-                       'adults','children','status','source','total_amount','notes']
+                       'adults','children','status','source','total_amount','paid_amount','notes']
       const updates: string[] = []
       const values: unknown[] = []
       let idx = 1