refact: Migrate from ESLint and Prettier to Biome

.gitignore

@@ -30,3 +30,6 @@ repopack-output.xml
 
 # yarn
 .yarn/
+
+# biome
+.biome/

.npmignore

@@ -12,6 +12,7 @@ tsconfig.build.json
 eslint.config.mjs
 prettier.config.mjs
 vite.config.mts
+biome.json
 
 # Git files
 .gitignore
@@ -57,3 +58,6 @@ CHANGELOG.md
 # OS generated files
 .DS_Store
 Thumbs.db
+
+# biome
+.biome/

biome.json

@@ -0,0 +1,26 @@
+{
+  "$schema": "https://biomejs.dev/schemas/1.8.3/schema.json",
+  "organizeImports": {
+    "enabled": true
+  },
+  "linter": {
+    "enabled": true,
+    "rules": {
+      "recommended": true
+    }
+  },
+  "formatter": {
+    "enabled": true,
+    "formatWithErrors": false,
+    "indentStyle": "space",
+    "indentWidth": 2,
+    "lineWidth": 120
+  },
+  "javascript": {
+    "formatter": {
+      "quoteStyle": "single",
+      "trailingCommas": "all",
+      "semicolons": "always"
+    }
+  }
+}