### Website or app

https://opensource.fb.com

### Repro steps

It seems that with the latest update of Chrome and React DevTools, it cannot detect pages as using React on incognito. Screenshot attached below:

<img width="518" alt="image" src="https://user-images.githubusercontent.com/34370238/235575519-8eeaa3c5-80fa-4cc4-a33d-3d2f0541f0d9.png">

* _Chrome version: 112.0.5615.137 (arm64)_
* _React DevTools version: 4.27.6 (4/20/2023)_

### 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_
devtools?.postMessage({
            payload: {
              type: 'react-devtools-additional-backends',
              versions: backendsToDownload,
            },
          });
          break;
      }
    }
  }
  
  
  if (request.payload?.tabId) {
    const tabId = request.payload?.tabId;
    
    if (request.payload.type === 'react-devtools-inject-backend-manager') {
      if (!IS_FIREFOX) {
        
        chrome.scripting.executeScript({
          target: {tabId},
          files: ['/build/backendManager.js'],
          world: chrome.scripting.ExecutionWorld.MAIN,
        });
      }
    }
  }
});