ADE is associated with an old email; I need to update it but can't login with that email anymore.

When I updated my Adobe account to a new email , it didn't automatically update ADE's email. I've just noticed this - I want to set up ADE on a new computer but I'd like to tie it to my current main email.

I have access to both emails; I'd just like to update ADE without losing my ebooks. How can I change the authorization email just for ADE, so it matches the rest of my Adobe account?