1. Tencent Gaming Buddy

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

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'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..

Oct 12, 2017 8:53 AM

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Mar 30, 2016  What Alli said. And I have noticed when I delete a game that uses game center, it asks me if I want to delete from game center as well. If you selected no, I would suggest reinstalling the game, then delete it and select yes when it asks about removing from game center.

Tencent Gaming Buddy

• Apr 20, 2011  I'm probably the only Mac user in this part of the Milky Way who will ask this, but, I want to remove Game Center from MY 3G-S. Any way to do this.
• Apr 13, 2016  To adjust Game Center settings on the Mac, select Account in the Settings menu of Game Center for Mac. This will bring up the settings interface with much of the same options as on your iOS device. To change Game Center notification settings on the Mac, choose System Preferences from the Apple menu, then click Notifications.