Change email address to another with an closed apple id account

Apple will not let you re-use an email address you have used before except as a notification address.

From: How to delete your Apple ID account - Apple Support

"Can I use the primary email address for my deleted Apple ID account to create a new Apple ID or with another existing Apple ID account?

No, once your Apple ID is deleted, you can't use the email address that you used with it to create a new Apple ID. In addition, you can't use that email address with another existing Apple ID except as a rescue [notification] email. Also, if your primary Apple ID email address is with a Custom Email Domain, it can never be reused to create an Apple ID after your Apple ID is deleted, even if the domain ownership changes."

* I take that to mean you can use the address as a notification address, but the reverse -using a notification email address as an Apple ID- is not possible.

That 1st email address is already on Apple servers and they won't allow it to be used again. They don't know if it's you or someone impersonating you.