The best way of taming them is to get them into a cage pur of pillars and knock em out with an Equus.
You dont need tranqs for that and its pretty quick

Always glad to help

Call it Peter. Peter Griffin.

Call it Griffindor.

Name it Windbreaker or Buckbeak

Cobalt (from Syntac)

Lionheart

AC-130 C'mon you know it's appropriate.

Flying Chicken

Weoponized KFC

Sanic

Shadow claw