feat: housekeeping automation — auto-task on checkout + room status on done

Backend:
- Migration 023: housekeeping_settings table (checkout_auto, checkout_priority, inspection_after_clean)
- New route: GET/PATCH /api/hotels/:slug/housekeeping-settings
- bookings.ts: on checked_out → auto-create turnover task + mark room dirty + broadcast WS
- housekeeping.ts: on task done → update room status (inspect|clean per setting) + broadcast WS
- ws.ts: export broadcast() for use in other routes

Frontend:
- HousekeepingPage: load/save settings to API, live Loader on save button
- useHotelSocket: add housekeeping WS message types
- HousekeepingPage: subscribe to WS — new tasks appear instantly without refresh
- BookingModal: show total section when room + nights selected (not just when total > 0)

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

src/lib/api.ts

@@ -222,6 +222,12 @@ export const api = {
 
     delete: (slug: string, id: string) =>
       req<void>('DELETE', `/api/hotels/${slug}/housekeeping/${id}`),
+
+    getSettings: (slug: string) =>
+      req<HkSettings>('GET', `/api/hotels/${slug}/housekeeping-settings`),
+
+    saveSettings: (slug: string, data: Partial<HkSettings>) =>
+      req<HkSettings>('PATCH', `/api/hotels/${slug}/housekeeping-settings`, data),
   },
 
   // ── Channels ──────────────────────────────────────────────────────────────
@@ -526,6 +532,12 @@ export interface HkPayload {
   status?: string; assignee_id?: string; notes?: string; due_date?: string
 }
 
+export interface HkSettings {
+  checkout_auto: boolean
+  checkout_priority: string
+  inspection_after_clean: boolean
+}
+
 export interface HotelPayload {
   name?: string; address?: string; phone?: string
   timezone?: string; currency?: string