Version info

Angular:
13.0.3

Firebase:
0.22.0

AngularFire:
7.2.0

Other (e.g. Ionic/Cordova, Node, browser, operating system):
Node:
v16.13.0

How to reproduce these conditions

Trying to accomplish working with multiple firebase projects for deployment as per instructions here: https://stackblitz.com/edit/angular-fire-start

Steps to set up and reproduce

When I try to set the different configurations for deploy command - for example:

 "deploy": {
     "builder": "@angular/fire:deploy",
      "options": {
          "prerender": false,
          "ssr": false,
          "browserTarget": "mypage:build:staging",
          "firebaseProject": "mypage-stg",
          "firebaseHostingSite": "mypage-stg"
      },
      "configurations": {
          "production": {
             "browserTarget": "mypage:build:production",
             "firebaseProject": "mypage-prod",
             "firebaseHostingSite": "mypage-prod"
          }
      }
}

And then run:
ng deploy --configuration="production"

This results with error:
An unhandled exception occurred: The Firebase Project specified by your angular.json or .firebaserc is in conflict

Debug output

An unhandled exception occurred: The Firebase Project specified by your angular.json or .firebaserc is in conflict

Looking at the text I identified the issues being the lines 25 and 33 in this file:
https://github.com/angular/angularfire/blob/master/src/schematics/deploy/builder.ts

Problematic code parts:

 if (!firebaseProject) {
    throw new Error('Cannot detirmine the Firebase Project from your angular.json or .firebaserc');
}
if (firebaseProject !== defaultFirebaseProject) {
    throw new Error('The Firebase Project specified by your angular.json or .firebaserc is in conflict');
}

and

const firebaseHostingSite = options.firebaseHostingSite || defulatFirebaseHostingSite;
if (!firebaseHostingSite) {
    throw new Error(`Cannot detirmine the Firebase Hosting Site from your angular.json or .firebaserc`);
}
if (firebaseHostingSite !== defulatFirebaseHostingSite) {
    throw new Error('The Firebase Hosting Site specified by your angular.json or .firebaserc is in conflict');
}

I can not make the sense out of this code.
Why would you prevent deploying any other value of the configuration other the default value?

Commenting out lines 25 and 33 results in the successful deployment of the desired configuration.

Expected behaviour

Being able to configure different firebase projects and hosting sites for the same project

Actual behaviour

Throwing errors when trying to use firebaseProject and firebaseHostingSite different from defaultFirebaseProject and defulatFirebaseHostingSite.

Edit: Duplicate of #3076 -> for some reason I thought that one was already closed