Migrate apps/web to shadcn/ui with preset b2D1F1IZv

Replace custom CSS module UI with shadcn radix-luma components,
Tailwind v4, and Manrope font. Remove packages/ui.

apps/web/package.json

@@ -11,10 +11,19 @@
     "check-types": "next typegen && tsc --noEmit"
   },
   "dependencies": {
-    "@betternas/ui": "workspace:*",
+    "@phosphor-icons/react": "^2.1.10",
+    "@tailwindcss/postcss": "^4.2.2",
+    "class-variance-authority": "^0.7.1",
+    "clsx": "^2.1.1",
     "next": "16.2.0",
+    "postcss": "^8.5.8",
+    "radix-ui": "^1.4.3",
     "react": "^19.2.0",
-    "react-dom": "^19.2.0"
+    "react-dom": "^19.2.0",
+    "shadcn": "^4.1.2",
+    "tailwind-merge": "^3.5.0",
+    "tailwindcss": "^4.2.2",
+    "tw-animate-css": "^1.4.0"
   },
   "devDependencies": {
     "@betternas/eslint-config": "workspace:*",