StyledFirebaseAuth does not render with firebase ^9.8.1

# Description
StyledFirebaseAuth renders no visible output when using `firebase: ^9.8.1`. No errors in console.

The below illustration is from my local dev environment. Not logged in. HTML is output, but not enough to actually construct a UI.

Configuration looks like the following
```
const uiConfig = {
signInFlow: 'popup',
signInOptions: [
GoogleAuthProvider,
EmailAuthProvider
],
callbacks: {
// Avoid redirects after sign-in.
signInSuccessWithAuthResult: () => false,
},
}
```

Have tested firebase auth lib itself and it works as expected for logging users in/out.

I speculate the problem is how `StyledFirebaseAuth` handles the functional approach of firebase 9+.

Reproduire l’UI manquante avec firebase ^9.8.1 en utilisant la uiConfig fournie et le composant StyledFirebaseAuth. Examiner comment le wrapper React initialise FirebaseUI et gère l’API fonctionnelle de Firebase 9+ ; c’est terminé lorsque l’UI de connexion configurée s’affiche visiblement sans erreurs dans la console.

Rédigé par le modèle d'indexation à partir du texte de l'issue.