refactor: remove biome configuration and update dependencies

- Deleted the obsolete biome.json file to streamline project configuration.
- Updated package.json and bun.lock to include new ESLint and Prettier dependencies for improved code quality and consistency.
- Added ESLint configuration package for better linting support across the project.
- Cleaned up various package dependencies to ensure a more maintainable and efficient codebase.

packages/eslint-config/base.js

@@ -0,0 +1,13 @@
+import js from "@eslint/js";
+import globals from "globals";
+import tseslint from "typescript-eslint";
+
+export const config = [
+	{
+		files: ["**/*.{js,mjs,cjs,ts,mts,cts}"],
+		plugins: { js },
+		extends: ["js/recommended"],
+		languageOptions: { globals: { ...globals.browser, ...globals.node } },
+	},
+	tseslint.configs.recommended,
+]