Looks like AA have updated their fare info for the AMS-GRU trips for ~ €2300. Can work it to get 77W on all non-intra-C2 flights. Includes one free stopover in each direction.

I've played around on Matrix, AA, and Expedia, and can get an example itinerary of AMS-DFW//DFW-GRU//GRU-DFW//DFW-AMS for €2875. Substituting MIA/JFK brings it up just a touch more (in my searches), but still wondering if anyone has some hints/tips on getting that final €500 off.

Any thoughts?