Can't transfer book to Tablet

ADE installed on both Windows 10 computer and Tablet (Android Samsung Galaxy Tab A), both authorized with the same account, using the Overdrive app on the Tablet.  No problem with books from our local Public Library, I can borrow and download on either the computer or the tablet and transfer from either to either and read on the computer in either ADE or a browser and read on the Tablet in either the Overdrive app or a browser.

PROBLEM:

I purchased an ePub book from Google Play and can see and read it on the computer in either ADE or my Google Play Library but I cannot transfer it to the Tablet.

ADE on the computer cannot see the Tablet.  The Overdrive app on the Tablet only recognizes Public Library branches, not the Google Play Library.