All issues should be resolved now. Updated version is available since 15:00 (GMT) in Google Playstore.
Now it works!! But you need to uninstall the "old" version and reinstall it from scratch because Google Play doesn't detect it as new and therefore the update won't start.
Thank you very much, and I have one last question: wouldn't it be helpful to put the APK on this page too so that those who don't use the Play Store can still play it without Google dependencies?