Maybe not that relevant, but there is an app in f-droid called aurora. You can download whatever app you want from google play without even having a google account...

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Apps sometimes need Google Play Services as a depency(funny how the apple versions don't need that)

I think you can sollve this with the help of the microG project, but thankfully i have never encountered such an app. I guess there are not many apps that require microG to operate...