chore: remove biom and use the same formatters for vite demo

Author: AleksandrSl

cmp/.prettierignore

@@ -7,3 +7,4 @@ dist/
 .turbo/
 .next/
 CLAUDE.md
+**/routeTree.gen.ts

cmp/demo/vite-react-spa/biome.json

@@ -5,10 +5,7 @@
   "scripts": {
     "dev": "vite --port 3000",
     "build": "vite build && tsc",
-    "serve": "vite preview",
-    "format": "biome format",
-    "lint": "biome lint",
-    "check": "biome check"
+    "serve": "vite preview"
   },
   "dependencies": {
     "@lingo.dev/compiler": "workspace:*",
@@ -23,7 +20,6 @@
     "tailwindcss": "^4.0.6"
   },
   "devDependencies": {
-    "@biomejs/biome": "2.2.4",
     "@tanstack/devtools-vite": "^0.3.11",
     "@testing-library/dom": "^10.4.0",
     "@testing-library/react": "^16.2.0",