### Website or app

corporate project (private)

### Repro steps

Load page, then open React DevTools. Reloading or closing and reopening the tab does not fix the problem. Quitting and reopening Firefox sometimes fixes the problem.
<img width="837" alt="image" src="https://github.com/facebook/react/assets/2292782/0fbcaf7c-533f-4afd-819c-b9f2749aa765">

The [linked troubleshooting instructions](https://github.com/facebook/react/blob/main/packages/react-devtools/README.md#the-react-tab-shows-no-components) provide no guidance for users of browsers other than Chrome; I am running Firefox v114 (on macOS 13.2.1).

### How often does this bug happen?

Often

### DevTools package (automated)

_No response_

### DevTools version (automated)

_No response_

### Error message (automated)

_No response_

### Error call stack (automated)

_No response_

### Error component stack (automated)

_No response_

### GitHub query string (automated)

_No response_
__dirname,
    '..',
    'react-devtools-shared',
    'babel.config.js',
  ),
};
module.exports = {
  mode: __DEV__ ? 'development' : 'production',
  devtool: __DEV__ ? 'cheap-module-source-map' : false,
  entry: {
    background: './src/background.js',
    backendManager: './src/backendManager.js',
    main: './src/main.js',
    panel: './src/panel.js',
    proxy: './src/contentScripts/proxy.js',
    prepareInjection: './src/contentScripts/prepareInjection.js',
    renderer: './src/contentScripts/renderer.js',
    installHook: './src/contentScripts/installHook.js',
  },
  output: {
    path: __dirname + '/build',
    publicPath: '/build/',
    filename: '[name].js',
    chunkFilename: '[name].chunk.js',
  },
  node: {
    global: false,
  },
  resolve: {
    alias: {