How to fix/repair/delete OLD Game Center account?

How to fix/repair/delete OLD Game Center account or at least make it merge with new account?

My brother gave me his old (early 2015) MacBook Pro and after about a year of playing with it, I decided to upgrade to my own brand new 2022 MacBook Pro.

The problem: about 6 months ago I wanted to replace the scratched up screen, and not realizing the earlier 2015 model wasn't just a glass replacement. I was supposed to replace the whole screen assembly. Needless to say, I broke the screen glass trying to pry it off. I put it away and forgot about it until last week. In the last 6 months however, I had changed my Apple ID. I remembered I had tons of music and other things on that MacBook. I fired up the old MacBook, hooked it up to my smart TV via hdmi to screencast. Then... migrated everything over to new MacBook.

As you can imagine, I didn't sign out of everything iCloud. But even if I had tried, I couldn't have because that Apple ID was no longer my Apple ID (I still try now, with no luck. Keep getting errors and "Apple ID/Password incorrect...). So with that, it basically copied over my new Home Folder with the old Apple ID home folder account. I was able to fix the Home Folder and everything else except one thing... Game Center.

I don't have any current games associated with my newly renamed Apple ID/Game Center except Chess on Mac.

In System Preferences > Internet Accounts > I can see my OLD Game Center account and the new one. I am unable to delete the old one or make ANY changes whatsoever. When I select the old one, press the minus sign at bottom left corner, it deletes my current account instead and leaves the old one still there.

What gives? Or how can I remedy this? See screenshots...

Please don't tell me to "just ignore it..." as I will just ignore your comment. Thank you.

[Image Edited by Moderator to Remove Personal Information]