My favorite Argie trap is 2x3 stone foundations , dino gate, and then pillars on the edge at every outside corner of a foundation, and one in the back middle. Then, 3 stone Ceilings from the back pillar to the gate. Pteras can go out, but not argies
An argentavis can't fit through a ceiling with one tile missing, but a pteranadon or lymantria can. Build a trap with one corner ceiling missing, aggro the argentavis, fly in one side and out the missing ceiling tile, and land. Dismount, run around, and close the entry door. Tame safely at your leisure.