How do you deal with customers that have fraudulently claimed a chargeback previously?

For background, the customer received goods and services from us a few years ago and months after the service was complete, they claimed a chargeback with their credit card company. Thankfully, I disputed the claim and won the case but I do not want to deal with this customer again.

They tried placing another order last year using a different name, address and credit card until I discovered it was the same customer. I recognized their distinctive voice and looked up the phone number they were calling me from. I declined that order.

They called again this week wanting to place another order.

What do you do in a situation like this or what do you say to tell them you don’t want their business? I’d rather not have to go through another possible chargeback.