feat: replace eslint and prettier with biome

package.json

@@ -5,9 +5,10 @@
   "scripts": {
     "build": "remix vite:build",
     "dev": "remix vite:dev",
-    "lint": "eslint --ignore-path .gitignore --cache --cache-location ./node_modules/.cache/eslint .",
     "start": "remix-serve ./build/server/index.js",
-    "typecheck": "tsc"
+    "typecheck": "tsc",
+    "lint": "biome lint",
+    "format": "biome format --write"
   },
   "dependencies": {
     "@code-hike/mdx": "0.9.0",
@@ -25,14 +26,13 @@
     "remark-mdx-frontmatter": "^5.0.0"
   },
   "devDependencies": {
+    "@biomejs/biome": "1.9.3",
     "@mdx-js/rollup": "3.0.1",
     "@remix-run/dev": "2.12.1",
     "@tailwindcss/typography": "0.5.15",
-    "@types/eslint": "9.6.1",
     "@types/react": "18.3.8",
     "@types/react-dom": "18.3.0",
     "autoprefixer": "10.4.20",
-    "eslint": "9.11.0",
     "postcss": "8.4.47",
     "tailwindcss": "3.4.12",
     "typescript": "5.6.2",