This is a problem generated by the original data that AC sends to A3. It is not due to agents on either part making mistakes, since all such transactions are automatic (IT). The reason that A3 will not do anything without AC giving its OK is that anything you send to them (ticket, BC) can ve changed/edited very easily by the sender using a simple software such as Photoshop. Unfortunately, this is the real world nowadays. If AC doesn't correct the problem that was responsible for the mess on their side and sends corrected data concerning your trip, you'll have to just accept their decision...