manifest.json中不能使用ts：

"background": {"service_worker": "background.ts"}

只能使用js

"background": {"service_worker": "background.js"}

在vite.config.js中增加以下配置，可以将background.ts转换成background.js

export default defineConfig({build: {rollupOptions: {input: {main: path.resolve(__dirname, 'index.html'),background: path.resolve(__dirname, 'src/utils/background.ts')},output: {entryFileNames: '[name].js'},external: ['express'] // 添加 express 到外部依赖}}
})

参考资料：

1. Chrome extension with Typescript
2. How to use TypeScript import in Chrome extension background page?
3. background.ts shows an error “Service worker registraion failed” but when i change it backgrounds.js it works fine in manifest.json