This is unrelated to the argy and or taming it. I just wanted to find the closest to relevant place to post some advice for raising eggs. When I'm between periods of incubation, store eggs immediately, otherwise a Dino can eat if from your inventory while you're running around. Once I was raising an argy egg when it got too hot so I picked it up till nightfall hit. This egg was at 3% incubation with merely minutes left and I went out to get meat for the Newley hatched baby as it was close to being born when a little birdy swooped by and ate it from my inventory, costing me nearly 3 hours of time, and causing me to wait for the parents to be able to mate again. Sorry for the inconvenient location of this tip.

More Argentavis Taming & KO Tips