Delete Game Center account or all game center data permanently

Hi!

I seek to:

• delete the Game Center account linked to my iCloud account,
• or to delete all the game center data permanently.

Basically I want all the info on Game Center to be wiped off so that I cannot see any achievements or games listed in it (please keep reading after the screenshot).

Please note that I am NOT seeking to:

• delete game data on the iCloud apps list,
• nor to sign out from the Game Center account on iOs.

I just want to delete all game data, achievements and all from the Game Center so that I do not have any "achievement" incentive to get back to those games. This addiction-trick about the fear of loosing achievements and rewards is unfair and I want to get rid of this.

Does it make sense?

Cheers.

Paul