Find one on the side of the volcano and have it agro onto you. Land on a safe area of the mountain and shoot it with tranq arrows or darts. They don’t do much damage if they’re lower than 75 so just let it hit if it gets close and keep shooting it. When it’s knocked out feed it some raw meat or better and it’ll be tamed in no time
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.