My company just changed the domain too, I did not have anything to do, a seamless transition.
My company was and still is a Gsuite consumer, I assume yours too.
Here the reply of AppSheet Team after the switch :
" From our end, it appears that the change was made on the authentication side by your company’s domain admins, which is why the transfer wasn’t required. On our database side, it appears that your account is hosted under email@example.com , and the search for the old email address turns up empty since it has been deactivated by your domain admins. Therefore the billing is continuous and does not require any additional work on your or our side."
My company seems just to have changed the authentification, don’t know if your company will apply the same process. [ same drive name Etc… ]
I just had to login in appsheet.com with my new domain address and Voilà !! like if it was the same account.
Are you sure you will have a new shared drive and have to move all your files?
Don’t know how you deal with your data, but if you keep the same “appsheet local data structure” to a new drive just update your Default folder path in your account settings.
Same for your Default app folder in the Info > properties > APP PROPERTIES
It would be good to secure some of this point with your admin drive.