### 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_
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 {