feat: Implement Convex authentication including sign-in/sign-up UI, Convex client provider, and backend auth functions.

package.json

@@ -9,6 +9,8 @@
     "lint": "next lint"
   },
   "dependencies": {
+    "@auth/core": "^0.37.4",
+    "@convex-dev/auth": "^0.0.90",
     "@radix-ui/react-checkbox": "^1.0.4",
     "@radix-ui/react-collapsible": "^1.0.3",
     "@radix-ui/react-dialog": "^1.0.5",
@@ -16,8 +18,11 @@
     "@radix-ui/react-slider": "^1.1.2",
     "@radix-ui/react-slot": "^1.0.2",
     "@radix-ui/react-tabs": "^1.0.4",
+    "@supabase/ssr": "^0.8.0",
+    "@supabase/supabase-js": "^2.93.3",
     "class-variance-authority": "^0.7.0",
     "clsx": "^2.1.0",
+    "convex": "^1.31.7",
     "lucide-react": "^0.312.0",
     "next": "14.1.0",
     "openai": "^4.28.0",