fix: correct search data transferring client to server

Author: alexdln

app/composables/useSettings.ts

@@ -115,11 +115,18 @@ export function useAccentColor() {
  * Composable for managing the search provider setting.
  */
 export function useSearchProvider() {
+  const cookie = useCookie('search-provider', {
+    secure: true,
+    sameSite: 'strict',
+    maxAge: 60 * 60 * 24 * 30,
+    path: '/',
+  })
   const { settings } = useSettings()
 
   const searchProvider = computed({
-    get: () => settings.value.searchProvider,
+    get: () => (cookie.value === 'npm' ? 'npm' : settings.value.searchProvider),
     set: (value: SearchProvider) => {
+      cookie.value = value
       settings.value.searchProvider = value
     },
   })