Trap it like a normal trap to argy or griffin. Be ready to try it more than once because it can snatch your from mount. Once trapped,
Ready your Bowgun turret with chain bolas ammo, use normal bolas through holes of the gate way trap to pin it down then lower it's hp. I recommend to use magnifying glass while its pinned down to know the hp left. Wait for it to free itself. Then shoot it with chain bolas. Feed it with raw prime meat. It's taming percentage (not quality) will go down fast as its hunger, wait for it to free again then shoot it again with chain bolas and feed it. Feeding interval is like in seconds.
Whoever said "it's wingspan is 2.4 meters that's a meter bigger than a tapejara so it will likely be between a tapejara and a quetzal in size" dude 2.4 meters is barely bigger than a person and the tapejara in ark have a wingspan roughly 8 meters the quetzals at least 14. Seriously?🤦
If you only want to use one chain bola and your on a cluster server, tame a reaper, bola the tropeo and then use the reaper's right click attack. Adds 20 seconds to the bola each time you right click and it hits.
Normal bolas do work to immobilize them so you can build around and trap them, but you still HAVE to use the chain bolas to feed them, using normal ones will just say he doesn't wanna be tamed right now.
When tameing the trop use a normal bola and place 3 pillars with a ceiling in a triangle close to the trop then place a slope ramp in center so he can’t get out. When feeding him first see how far his hungry goes to feed him and that is the time to feed.