feat: persist assignment_strategy + apply to widget category bookings

src/pages/SettingsPage.tsx

@@ -109,6 +109,7 @@ export function SettingsPage() {
         if (s.auto_cancel_noshow_hours) setAutoCancelNoShowHours(Number(s.auto_cancel_noshow_hours))
         setAutoCheckout(Boolean(s.auto_checkout_enabled))
         if (s.auto_checkout_hours) setAutoCheckoutHours(Number(s.auto_checkout_hours))
+        if (s.assignment_strategy) setAssignmentStrategy(s.assignment_strategy as any)
         setSmtp({
           host:      String(s.smtp_host      ?? ''),
           port:      String(s.smtp_port      ?? '587'),
@@ -269,6 +270,13 @@ export function SettingsPage() {
         console.error('Failed to save hotel settings', err)
       }
     }
+    if (section === 'booking') {
+      try {
+        await api.hotelSettings.update(slug, { assignment_strategy: assignmentStrategy })
+      } catch (err) {
+        console.error('Failed to save booking settings', err)
+      }
+    }
     if (section === 'notify') {
       try {
         await api.hotelSettings.update(slug, {