Apple Music download link for an Android tablet

There's only the one app in the Store: often apps work on both phones and tablets but I notice that it says it's not compatible with my tablet (which is up to date) so possibly it won't work on any tablet. You could try asking Apple Support.

This page gives instructions and a link to the app on the Google Play Store: Join Apple Music on your Android phone - Apple Support (or just go to the Play Store app and search for Apple Music).

The Apple Music App for Android does not support tablets at this time.

Why? I'm assuming this applies to Chromebooks supporting the PlayStore and Android apps, correct?

The App currently is only supported on phones. Whether it will run on a Chromebook i have no idea.