Trying to learn PPP on guitar, looking for some help please

I'm like an advanced beginner at guitar I'd say. Can anyone tell what fret Alex's capo is at during this performance? There's a close up of his guitar at 4:25 if you don't have time for the whole thing (a killer rendition!).

This tutorial I've been using is really great. But I'm using a classical guitar, so barre-ing the high frets has been a pain in the ass for me cause the body is in the way.

So if I put a capo on, would that shift the frets I need to barre up the neck and away from the body? Or, if not, any tips on hitting barre chords when the guitar is in the way? I have standard barres pretty much down, this is a new one for me. Sorry for the noob guitar questions, thanks in advance!