In my case, AA.com refused to talk to me over the phone. They would only correspond via email. They also refused to check Orbitz.com for the lowest fare. It is impossible to capture everything using Ctrl. Print Screen. This makes it difficult to figure out AA.com actually needs to see.
What was at stake wasn't just a $50 travel coupon. The price difference between fares was $400 for the same ticket.
Fortunately, my fare was refundable. I bought the same ticke through Orbitz, even though it was $200 more expensive by the time I went back to Orbitz.