You may check if the game is using your Apple ID by following the steps below:
- Choose Apple menu > System Settings (or System Preferences).
- Click your name (or Apple ID), then choose Password & Security.
- Click on Sign in with Apple to see the apps
To find out if the game is linked to your Google you can do the following:
- Go to your Google Account Settings.
- Click on Security in the menu on the left.
- Scroll to Connected Third-Party Applications and Services.
- Click See All Connections.