Go for level 1. The higher the Ovi, the more eggs you need. Going after a max level Ovi is the biggest waste of time in the game and terrible use for the 300 dodo eggs your were going to stuff downbits throat.. No matter the level, all they are going to do is stand in your base to increase egg and mating rates, or you will pop one out for two seconds to grab an egg.
So their easy to knock out, taming it.....not that easy, they eat eggs. The larger the egg, the more efficient it tames. You can tell the size by the weight of the egg. These guys are very useful, put them on wander in your base, and they'll collect all your creatures eggs.
First off, if you're on official rates and you don't have access to a giga egg, get comfy cuz you're taming dodos for the next 2 hours. One male and as many females as you can. They have a chance of laying an egg every time they poop so even though you literally need like 200 for a mediocre Ovi, it still might be faster than waiting for another creature to pop out enough for you. Secondly, do find a way to trap it before you knock it, ANYWHERE that isn't near those dang ichthyornis birds. I had just knocked an oviraptor once when that bird swooped down and just like that I no longer had the amount of eggs I needed. It's happened with narcotics too. Just stay away from those avian beach bums. Third and last of all, the ovi will NOT hold all the eggs it needs to eat all at once. So you'll have to pay attention and keep adding eggs as it eats. This guy needs some serious babysitting while being tamed, but the buff is definitely worth it.