I did the same thing, but AFAICT I don't see any way to continue playing?
I've applied for a refund on Steam explaining that due to this requirement it is essentially money stolen, but I got a negative reply based on a high play time (17 hours, including about half idle because I left the house with it running).
I was hoping the current situation would relax the refund policy to include account-linking based fraud to be part of the ToS, but that probably won't be the case now.