fix: refactor search routes (#1529)

Refactor find endpoints to be consistent in terms of input and output.

apps/web/src/app/(dashboard)/settings/public-profile/public-templates-data-table.tsx

@@ -52,7 +52,7 @@ export const PublicTemplatesDataTable = () => {
   );
 
   const { directTemplates, publicDirectTemplates, privateDirectTemplates } = useMemo(() => {
-    const directTemplates = (data?.templates ?? []).filter(
+    const directTemplates = (data?.data ?? []).filter(
       (template): template is DirectTemplate => template.directLink?.enabled === true,
     );