feat(SW-350): Update design for booking widget

components/BookingWidget/Client.tsx

@@ -22,6 +22,7 @@ import type { Location } from "@/types/trpc/routers/hotel/locations"
 
 export default function BookingWidgetClient({
   locations,
+  type,
 }: BookingWidgetClientProps) {
   const [isOpen, setIsOpen] = useState(false)
 
@@ -99,8 +100,9 @@ export default function BookingWidgetClient({
         >
           <CloseLarge />
         </button>
-        <Form locations={locations} />
+        <Form locations={locations} type={type} />
       </section>
+      <div className={styles.backdrop} onClick={closeMobileSearch} />
       <MobileToggleButton openMobileSearch={openMobileSearch} />
     </FormProvider>
   )