feat: use vercel ai gateway (#38)

package.json

@@ -21,13 +21,13 @@
     "prisma:reset": "npx prisma db push --force-reset"
   },
   "dependencies": {
-    "@anthropic-ai/sdk": "^0.27.3",
     "@hookform/resolvers": "^3.3.2",
     "@next/bundle-analyzer": "^14.2.5",
     "@prisma/client": "^5.6.0",
     "@radix-ui/react-label": "^2.0.2",
     "@radix-ui/react-slot": "^1.0.2",
     "@vercel/analytics": "^1.1.1",
+    "ai": "^5.0.68",
     "axios": "^1.12.0",
     "class-variance-authority": "^0.7.0",
     "clsx": "^2.0.0",
@@ -41,7 +41,7 @@
     "resend": "^3.1.0",
     "tailwind-merge": "^2.1.0",
     "tailwindcss-animate": "^1.0.7",
-    "zod": "^3.22.4"
+    "zod": "^4.1.12"
   },
   "devDependencies": {
     "@commitlint/cli": "^18.4.3",