introduce biome instead of prettier and eslint.

biome.json

@@ -0,0 +1,43 @@
+{
+  "$schema": "https://biomejs.dev/schemas/2.2.4/schema.json",
+  "vcs": {
+    "enabled": true,
+    "clientKind": "git",
+    "useIgnoreFile": true
+  },
+  "files": {
+    "ignoreUnknown": false,
+    "includes": ["src/**"]
+  },
+  "formatter": {
+    "enabled": true,
+    "formatWithErrors": false,
+    "indentStyle": "space",
+    "lineEnding": "lf",
+    "indentWidth": 2,
+    "lineWidth": 120,
+    "attributePosition": "auto"
+  },
+  "linter": {
+    "enabled": true,
+    "domains": {
+      "react": "recommended"
+    },
+    "rules": {
+      "recommended": true
+    }
+  },
+  "javascript": {
+    "formatter": {
+      "quoteStyle": "single"
+    }
+  },
+  "assist": {
+    "enabled": true,
+    "actions": {
+      "source": {
+        "organizeImports": "on"
+      }
+    }
+  }
+}