I'd never considered a 70m tall chunk of mostly metal "agile", but the way it's controlled into the arms so precisely is something to behold.
I dug into it, found this clip. Elon says that it’s those two tiny knubs! Saw a few pictures and yes, I confirm, it’s not the grid fins.
Here is a brilliant profile shot looking down one of the "arms" after the catch today, you can clearly see it resting on the "pins", not the grid fins.
https://www.reddit.com/media?url=https%3A%2F%2Fi.redd.it%2F7...
They also use those "pins" to raise/lower it with a crane when they need to during construction and during transport to the launch tower. It's the primary mode of lifting the thing