fix: Make header responsive on mobile

- Add flex-wrap to header right section
- Hide LanguageSwitcher on small screens (hidden sm:block)
- Replace logout text with Settings icon button
- Add shrink-0 to prevent logo compression
- Reduce gaps on mobile (gap-1 sm:gap-2)

next-env.d.ts

@@ -1,6 +1,6 @@
 /// <reference types="next" />
 /// <reference types="next/image-types/global" />
-import "./.next/types/routes.d.ts";
+import "./.next/dev/types/routes.d.ts";
 
 // NOTE: This file should not be edited
 // see https://nextjs.org/docs/app/api-reference/config/typescript for more information.