The way I tamed my argies are like this. I don’t use a trap. The argies are not quick so you cam make it aggro on you , fly a bit farther with your pteranodon (or run) shot it with tranqs and repeat.Then you can use spikes around if you want to protect it.
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.