Google Play Games profile fails to change my game profile to public
I found this on a forum, from a Google Expert... Summarizing the choices you have:


Start your device in safe mode without running any app you installed and see if the problem persists - if it is solved, probably one of the apps is causing the issue, and you just need to uninstall it...
Reset your device by visiting Settings > Backup &amp; reset > Factory data reset and then check if the problems persist. Make sure to back up any data before executing this suggestion. 
Finally, if nothing solved, you should contact the Google Play team for help. You can reach them from this link and, alternatively, you can phone than from this link.