To make the payment with my card go, I did, as many habra users suggested. Namely: “As a country, leave US, city - New York, state - NY, zip - 10001, phone - any”, which ultimately played its role more than six months later. ')
After a brief conversation with the support service, it turned out that I was suspected of fraud and asked me to send scans of a photo document confirming that I live in New-York, as well as a scan of the credit card itself.
UPD. If someone from the users of habrahabr.ru registered an account in the same way, be on the alert. And good luck to you!