This article explains how to play Apple Music on Google Home and Nest devices such as Google Home Mini and Max, Nest Mini, etc.
How to Play Apple Music on Google Home Devices
Apple Music works with Google Home and Nest smart speakers and displays in certain areas, meaning you can use Google Assistant with Apple Music if you live in one of those areas. It works much the same as other music services on Google Home and Nest devices, in that you can link your account in Google Home and then ask Google Assistant to play stuff from Apple Music or set it as your default music service.
If you live in an area where Apple Music isn't available on Google Home devices, you can still pair your Google Home or Nest speaker to your phone, tablet, or computer via Bluetooth and play music wirelessly that way.
To play Apple Music on Google Nest and Google Home speakers, you’ll need to link your Apple Music account in the Google Home app. Once you’ve done that, you can use voice commands to request music from Apple Music.