Hey Allen,
I am not sure what to say, the US website of General Tires does not list the AT3...? The German website however does. Weird.
The G05 requires 19" with dimension 265/50R19 & GT does not produce those as yet?! So you might want to look into the 20" option with non-oem wheels.
At the end I went non BMW, due to costing. The rims are 9x20ET35 Autec Uteca and cost 750€ the tires were around 500€ (for all 4) plus sensors 80€ and mounting 80€ - so in total 1,410€ about 1,500USD. BMW's offer for this is 3,860€ (4,260USD)....... no brainer for me. All a question of cash.