Try to build a trap or cage to tame it peacefully, also it's better to use them for attack and long journeys because of its stamina and better attack compared to the pteradon. It's better to use them for taming because of the size,weight,and better stats, it can also (if maxed leveled) be one of your most reliable companions.
1-2 tranq darts in head and he’s knocked, go get some meat and kill some of those jellyfish and get bio toxin then put the bio toxin in it and feed it until the argies hunger is on 1000 or less then put all your meat in it
If you need an argy and don’t have time to tame one with a trap, just go to carno island, kill a Dino in front of an argy and let it harvest its body. When the green health icon shows up on top of it, knock it out with tranq arrows and the argy is instantly yours.