### Website or app

https://lcdev.shaped.ca

### Repro steps

Dev tools not working in FF or Chrome, says "This page doesn't appear to be using react".

React is included via CDN as shown on react website https://reactjs.org/docs/cdn-links.html:
``
	<script crossorigin="anonymous" src="https://unpkg.com/react@17/umd/react.development.js"></script>
``

Web Console on said page says:
``
Download the React DevTools for a better development experience: https://reactjs.org/link/react-devtools
``

### How often does this bug happen?

Every time

### 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_
if (!lastDetectionResult || target !== window.document) {
    return;
  }
  chrome.runtime.sendMessage(lastDetectionResult);
});
const detectReact = `
window.__REACT_DEVTOOLS_GLOBAL_HOOK__.on('renderer', function({reactBuildType}) {
  window.postMessage({
    source: 'react-devtools-detector',
    reactBuildType,
  }, '*');
});
`;
const saveNativeValues = `
window.__REACT_DEVTOOLS_GLOBAL_HOOK__.nativeObjectCreate = Object.create;
window.__REACT_DEVTOOLS_GLOBAL_HOOK__.nativeMap = Map;
window.__REACT_DEVTOOLS_GLOBAL_HOOK__.nativeWeakMap = WeakMap;
window.__REACT_DEVTOOLS_GLOBAL_HOOK__.nativeSet = Set;
`;
if (sessionStorageGetItem(SESSION_STORAGE_RELOAD_AND_PROFILE_KEY) === 'true') {
  const rendererURL = chrome.runtime.getURL('build/renderer.js');
  let rendererCode;
  
  
  
  
  
  const request = new XMLHttpRequest();
  request.addEventListener('load', function() {
    rendererCode = this.responseText;