Apple has unilaterally disabled my account and told me to create a new one. They will let me know in 5-10 business days if they will refund the balance in my account.
There is a slight chance that the refund process will resolve the account issue as it is being elevated to an engineering team in the fraud department.
My Apple balance is locked and unusable though. I'd like that to be freed up, and I'd still like to buy the Studio!
Really hoping that it gets sorted out. I had no idea gift cards were such an issue; I rarely use them.