HURRY!
You may have run out of time so that the on-line source is your best option. More on that in a min.
Phone the AA RTW desk, set up the trip for ticketing in Poland. You will need to have dates ready, even if they're dummy dates at this point.
Once it's set, they need to send it off to their rates people in Dublin for computation of the taxes etc., which normally requires 24h. Once it's priced you then contact the AA GSA in Poland, Tal Aviation - contact info at
http://www.aa.com/i18n/aboutUs/where...ckets/main.jsp. Tal can then process your credit card or other payment means.
THE PROBLEM is that Tal is only open M-F, and as the ticketing deadline for the discount is coming up, you may not have time to get the fare AND communicate with Tal before it turns into a pumpkin (ha ha.) ASK the RTW desk if you can get the price pronto, giving enough time to phone Poland TOMORROW.
If that doesn't work, then you'll have to use the online tool, risk higher fuel surcharges (taxes won't be different) etc. Try if possible to use the AA codeshare on WAW-LHR to see if the robot will let AA do the ticketing. You'll need to be transiting LHR and departing on AA metal for that to work, if it does. Otherwise BA will be the ticketing airline and welcome to their fuel fines, which may all but erase the 10% ticket savings. If you stop over in LHR (> 24h) then the AA code won't work on WAW-LHR, plus you'll have to pay the UK APD - ouch.
(Don't know if using the AA code on the first flight will work with the machine - it might see the world differently.)
Best of luck.