### Website or app

-

### Repro steps

On both Firefox 103 and 104 the react devtools extension says: "This page doesn't appear to be using React".

On the most recent version of Chrome it's working just fine.

I cannot share the project since it's a private project unfortunately, but I suspect this is a regression introduced with the recent https://github.com/facebook/react/pull/26765

Especially since the devtools were working perfectly fine until maybe one or two weeks ago.

It _does_ work in incognito mode in Firefox.

### 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_
import type {BrowserTheme} from 'react-devtools-shared/src/devtools/views/DevTools';
export const IS_EDGE = navigator.userAgent.indexOf('Edg') >= 0;
export const IS_FIREFOX = navigator.userAgent.indexOf('Firefox') >= 0;
export const IS_CHROME = IS_EDGE === false && IS_FIREFOX === false;
export type BrowserName = 'Chrome' | 'Firefox' | 'Edge';
export function getBrowserName(): BrowserName {
  if (IS_EDGE) {
    return 'Edge';
  }
  if (IS_FIREFOX) {
    return 'Firefox';
  }
  if (IS_CHROME) {
    return 'Chrome';
  }
  throw new Error(
    'Expected browser name to be one of Chrome, Edge or Firefox.',
  );
}
export function getBrowserTheme(): BrowserTheme {