I personally wouldn't try this because it wants me to login. I don't care if it's Google authentication or Facebook or Yahoo or anything else. I don't see any reason why I should link any of my online accounts with this. Since this is an app, you could save all progress information on the device and if required, collect any analytics right from the device whenever it runs (if you do need usage data).

Please remove the need to create an account or login anywhere. Or make it optional so that those who do want to login, can. I would prefer the default be to not create/login to any account and an optional login flow for others.

Thanks!