Chrome扩展Service Worker引入TensorFlow模块注册失败求助

我正在开发一款Chrome扩展，在Service Worker中使用TensorFlow模型，采用Parcel进行打包。使用HMR服务器时扩展运行正常，但构建后添加到Chrome时出现报错：
Uncaught ReferenceError: $379e4f2c7c8c5f6b$exports is not defined
进而导致Service worker registration failed. Status code: 15。

已尝试的方案均无效：

• 移除"type": "module"
• 改用ES6语法
• 在HTML脚本中定义全局export变量

排查发现问题与模块导入直接相关：

• 不导入任何模块时，Service Worker可正常运行
• 仅导入universal-sentence-encoder时，扩展可安装，但交互时仍会抛出上述引用错误

当前导入代码如下：

import '@tensorflow/tfjs-backend-cpu/dist/index.js';
import '@tensorflow/tfjs-backend-webgl/dist/index.js';

import * as use from '@tensorflow-models/universal-sentence-encoder/dist/index.js';
import * as tf from '@tensorflow/tfjs-core/dist/index.js';

我认为导入方式是正确的（毕竟HMR环境中运行正常），想请教哪里操作有误？

附上相关配置文件：

manifest.json：

...,
    "background": {
        "service_worker": "service-worker.ts",
        "type": "module"
    },
...

tsconfig.json：

{
    "compilerOptions": {
        "outDir": "./dist",
        "target": "es2022",
        "moduleResolution": "node"
    }
}

package.json：

{
    "dependencies": {
        "@tensorflow-models/universal-sentence-encoder": "^1.3.3",
        "@tensorflow/tfjs": "^3.6.0",
        "@tensorflow/tfjs-converter": "^3.6.0",
        "@tensorflow/tfjs-core": "^3.6.0",
        "@tensorflow/tfjs-backend-cpu": "^3.6.0",
        "@tensorflow/tfjs-backend-webgl": "^3.6.0"
    },
    "devDependencies": {
        "@parcel/config-webextension": "^2.8.3",
        "@types/chrome": "^0.0.238",
        "@typescript-eslint/eslint-plugin": "^5.60.0",
        "@typescript-eslint/parser": "^5.60.0",
        "buffer": "^5.5.0",
        "eslint": "^8.43.0",
        "parcel": "^2.8.3",
        "process": "^0.11.10",
        "typescript": "5.1.6"
    },
    "scripts": {
        "copy-img": "if not exist \"dist/images\" mkdir \"dist/images\" && copy images \"dist/images\"",
        "start": "yarn copy-img && parcel watch manifest.json --host localhost",
        "build": "yarn copy-img && parcel build manifest.json"
    }
}

内容的提问来源于stack exchange，提问作者tplat