How to remove a deleted iCloud account from MacBook?

So I recently deleted an iCloud account, and I now want to remove it from my MacBook Air and replace it with another one. However, when I click “sign out”, it makes me type in the password for the account. But since the account no longer exists, it says “cannot find this person”. And then a message pops up saying “Your iCloud couldn’t be removed at this time”, and it won’t let me delete it. What should I do? 

Thanks! 

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