I'm probably not one to answer what it takes to shoot a teen agg as I've only shot one teen agg in a shooting career that has spanned 30 years. The teen agg I shot happened to be at the Super Shoot. Good place to do it if you are going to do it.
First off you can't do it without good equipment. The action has to work smoothly. The barrel has to shoot very well and the rifle has to be in tune and the scope has to be holding point of impact.
Second, the shooter has to be shooting well enough that when the rifle fires, he knows it's going to go into the group. If you wonder if it's going to go in, then you aren't there. It also helps to be able to shoot enough at home that when you have four shots in a dot that you don't start getting nervous and your hand start shaking on the last shot. Normally, if it's the last shot that goes out its a shooter problem.
I've seen teen aggs shot in some pretty windy conditions by some outstanding shooters like Gene Bukys and others. But, light steady conditions do help. I went out this afternoon and shot in some very light conditions. The temperature stayed at 79 degrees all afternoon and shot a .189 agg at 100 with a rifle with a pretty new barrel. After I shot it, I took out another one that I had been shooting most of the summer. While it shot in the .25" area, it wasn't shooting as well as the other rifle. It would probably be competitive in windy conditions, but not in light conditions.
Very seldom have I ever seen conditions that were light enough at a match that you would consider it a trigger pulling contest. That just doesn't seem to happen very often especially in the Gulf coast and Mid Continent regions where I shoot most of the time. By the way, I think my teen agg at the SS was good for about 6th place. I shot next to James Mock at the nationals in Kansas City a few years ago. I was shooting .4's and .5's at 200. He was shooting .2's and .3's. He won the yardage and I think his first nationals yardage win and hall of fame point. He was on and his rifle was on and I think he shot about a .17 agg.
As the old saying goes "How do you get to Carnegie Hall?" "Practice, practice, practice.". That pretty well works in every facet of benchrest as well. If you want to shoot your first teen agg, it's going to take practice, practice, practice as well as a top quality in tune rifle. I've said this before, but I was talking with Allen Arnette one year at the SS. He shot his way into the hall of fame in one year. He did it with practice, practice, practice, shooting over 10,000 rounds the year he made it into the hall of fame.