AA then said, sorry we don't actually want to do what we agreed to do and you have the choice to do something completely different or pay additional "taxes" to do roughly the same thing.
Do you believe AA controls BA?
The bottom line is that AA has offered you a lot of reasobable options for flights that are still months away. But you have rejected all of them. And gotten off on a time consuming tangent regarding an AA agent's miscategorization of a BA surcharge as a tax. I'm sure those with a preexisting beef about all things AA are very pleased with your story. Gives them another chance to be all indignant about AA and push you into filing a DOT complaint that is likely to lead no where without a big time commitment from you.