This looks exactly like a tutorial I’ve seen online somewhere (couldn’t tell you where, though). They probably followed that tutorial or something like it for the “draw on” effect and then precomped that, adding 3D motion to them afterwords.
Basically, you take your pre-drawn shape and break it up into smaller, individual “strokes” in Photoshop. You’ll notice that some of the thicker chunks don’t “draw” in, they just kind of pop out. The lines are easier to do. Animated mask reveals if I had to guess.
Now after that’s been done and animated, you can drop your composition into another composition, making it a 3D layer, and animate it around as you like.