Here are a couple of methods to download the play store apps on your android device without the Google account.
Can You Use an Android Phone Without a Google Account?
How to Download an APK File from the Google Play Store
How to Install Apps from the Play Store Without Gapps or Google Services « Android :: Gadget Hacks
Google Play Store: How To Enable Automatically Archive Apps Feature
Find all the apps you've ever downloaded on your phone - CNET
How To Install Android Apps Without The Google Play Store
How to Download Apps on Android Without Google Play
How to install apps outside of Google Play - CNET
How to Download Android Apps Without Google Play Store? - GeeksforGeeks
Google Play - Wikipedia
How do I install applications without Google? - Murena - deGoogled phones and services