refactor: url management in hotel reservation flow

app/[lang]/(live)/@bookingwidget/page.tsx

@@ -3,11 +3,12 @@ import { serverClient } from "@/lib/trpc/server"
 
 import BookingWidget, { preload } from "@/components/BookingWidget"
 
+import type { BookingWidgetSearchData } from "@/types/components/bookingWidget"
 import type { PageArgs } from "@/types/params"
 
 export default async function BookingWidgetPage({
   searchParams,
-}: PageArgs<{}, URLSearchParams>) {
+}: PageArgs<{}, BookingWidgetSearchData>) {
   if (!env.ENABLE_BOOKING_WIDGET) {
     return null
   }
@@ -22,5 +23,5 @@ export default async function BookingWidgetPage({
     return null
   }
 
-  return <BookingWidget searchParams={searchParams} />
+  return <BookingWidget bookingWidgetSearchParams={searchParams} />
 }