feat(web): integrate AI Elements chat primitives

packages/ui/package.json

@@ -16,6 +16,11 @@
   "dependencies": {
     "@base-ui/react": "^1.6.0",
     "@shadcn/react": "^0.2.0",
+    "@streamdown/cjk": "^1.0.3",
+    "@streamdown/code": "^1.1.1",
+    "@streamdown/math": "^1.0.2",
+    "@streamdown/mermaid": "^1.0.2",
+    "ai": "^7.0.35",
     "class-variance-authority": "^0.7.1",
     "clsx": "^2.1.1",
     "lucide-react": "catalog:",
@@ -23,9 +28,12 @@
     "react": "^19.2.7",
     "react-dom": "^19.2.7",
     "shadcn": "^4.12.0",
+    "shiki": "^4.3.1",
     "sonner": "catalog:",
+    "streamdown": "^2.5.0",
     "tailwind-merge": "catalog:",
-    "tw-animate-css": "^1.4.0"
+    "tw-animate-css": "^1.4.0",
+    "use-stick-to-bottom": "^1.1.6"
   },
   "devDependencies": {
     "@code/config": "workspace:*",