It seems like you may have made a new Apple ID in order to make a new Game Center account:

Nov 30, 2016  I have not found how to manage game center in ios 10 anyone knows if it could be done 12:14 PM Like 0.mnpostbitdigioh div div. Jan 16, 2016  Home › Forums › Other Stuff › Game Center Account management This topic has 1 reply, 1 voice, and was last updated 4 years, 1 month ago by Deborah Goins. Viewing 1 reply thread Author Posts March 27, 2015 at 12:55 AM #27693 Reply BrianGuest I have a. Apr 07, 2020  Here are the steps to sync with multiple work accounts in OneDrive sync client in Mac: Set up OneDrive sync client with one work account first. Right-click the OneDrive cloud icon up in your Menu bar. Select Preferences. Click the Account tab and select Add an Account to start OneDrive Setup.

Game Center

'When you sign in to your iCloud account, a Game Center account is created for you (if it didn’t exist already). When you’re signed in to your iCloud account using the same Apple ID on all your Apple devices, your Game Center account is available on all the devices; any games you purchased using the same Apple ID are also available.'

Maybe this article about trying to delete Apple ID will give you some idea of what is happening...

Mac Manage Game Center Account App

Oct 12, 2017 8:53 AM