Add Clerk authentication and update auth flow for stories and API routes

package.json

@@ -9,6 +9,7 @@
     "start": "next start"
   },
   "dependencies": {
+    "@clerk/nextjs": "^6.36.5",
     "@hookform/resolvers": "^3.10.0",
     "@neondatabase/serverless": "^1.0.2",
     "@next/env": "^16.1.1",
@@ -49,7 +50,7 @@
     "embla-carousel-react": "8.5.1",
     "input-otp": "1.4.1",
     "lucide-react": "^0.454.0",
-    "next": "16.0.10",
+    "next": "16.1.1",
     "next-s3-upload": "^0.3.4",
     "next-themes": "^0.4.6",
     "react": "19.2.0",