You need the support to approve your documents anyway. Reaching out to them on Twitter / Facebook might speed things up. What I would do is provide a bank statement with your name/address and the outgoing payment via support chat and explain everything. This way, they can hopefully solve your problem without getting back to you once they’re dealing with your support inquiry.
Despite being named “chat”, I would not treat it as a conversation channel but more like a one way letter box. That might solve the catch 22 situation, where support is not available when the customer is waiting for it and then the customer not being available when support finally gets back to the customer.