Callable functions with custom region not working, Unauthenticated error

### Version info

**Angular:**
15.2.2

**Firebase:**
9.23.0

**AngularFire:**
7.6.1

### How to reproduce these conditions

**Steps to set up and reproduce**

1. Create angular 15 project
2. Add angularfire
3. Create callable functions with custom region

### Debug output

** Errors in the JavaScript console **

```
main.fc6d01fc3332ae31.js:1 ERROR Error: Uncaught (in promise): Error: FirebaseError: Unauthenticated
Error: FirebaseError: Unauthenticated
```

** Output from `firebase.database().enableLogging(true);` **

How/where do I enable this?

Callable function:

```
import { region } from 'firebase-functions';

export const getInvoicesPerQuarter= region('europe-west1')
.https.onCall(async (data: { id: string; invoiceNumber: string }, context) => {
...
})
```

app.module.ts:

```
provideFunctions(() => {
const functions = getFunctions(getApp(), 'europe-west1');
// const functions = getFunctions();
if (environment.useEmulators) {
connectFunctionsEmulator(functions, 'localhost', 5001);
}
return functions;
}),
```

firebase.json:

```
{
"hosting": [
{
"rewrites": [
{
"source": "/getInvoicesPerQuarter",
"function": "getInvoicesPerQuarter"
}
]
},

```
angular component:

```
import { Functions, httpsCallableData } from '@angular/fire/functions';

const getInvoicesPerQuarterCallable: (data: {
year: number;
quarter: number;
}) => Observable = httpsCallableData<
{ year: number; quarter: number },
string
>(this.functions, 'getInvoicesPerQuarter');

const result = await firstValueFrom(
getInvoicesPerQuarterCallable({ year, quarter }),
);
```

Calling this callable function works in the emulator.
I deploy this to firebase.
I doesn't work on production and I get the Unauthenticated error.
I already contacted firebase support but everything looks fine and they say it's an AngularFire issue and can't help me.
Functions are V1.

callable 関数の定義、app.module.ts、firebase.json、および httpsCallableData を使用している Angular コンポーネントを確認し、設定されている europe-west1 リージョンとデプロイ済みの本番環境を比較します。本番環境への呼び出しを再現し、なぜ Unauthenticated が返されるのかを追跡します。完了条件は、デプロイ済みの V1 callable が Angular アプリケーションからそのエラーなしで動作することです。

索引モデルが issue の本文から書いたものです。