FCM onMessage not working in Firefox, but working in chrome

my code is working perfectly on chrome (Version 103.0.5060.134), but when i tried it on firefox (103.0) it's not working.

the service worker registered successfully, but cannot receive notification/message. there's no error shown up in console

here my code (i'm using vue v2 btw)

firebase-messaging-sw.js

importScripts('https://www.gstatic.com/firebasejs/9.2.0/firebase-app-compat.js')
importScripts('https://www.gstatic.com/firebasejs/9.2.0/firebase-messaging-compat.js')

// Initialize the Firebase app in the service worker by passing in
// your app's Firebase config object.
// https://firebase.google.com/docs/web/setup#config-object
firebase.initializeApp({
  apiKey: 'api-key',
  authDomain: 'project-id.firebaseapp.com',
  databaseURL: 'https://project-id.firebaseio.com',
  projectId: 'project-id',
  storageBucket: 'project-id.appspot.com',
  messagingSenderId: 'sender-id',
  appId: 'app-id',
  measurementId: 'G-measurement-id',
});

// Retrieve an instance of Firebase Messaging so that it can handle background
// messages.
const messaging = firebase.messaging();

registerServiceWorker.js

import { register } from 'register-service-worker'

if (process.env.NODE_ENV === 'production') {
  register(`${process.env.BASE_URL}service-worker.js`, {
    ready () {
      console.log(
        'App is being served from cache by a service worker.' 
        
      )
    },
    registered () {
      console.log('Service worker has been registered.')
    },
    cached () {
      console.log('Content has been cached for offline use.')
    },
    updatefound () {
      console.log('New content is downloading.')
    },
    updated () {
      console.log('New content is available; please refresh.')
    },
    offline () {
      console.log('No internet connection found. App is running in offline mode.')
    },
    error (error) {
      console.error('Error during service worker registration:', error)
    }
  })
}