Very cool indeed. I'm sure I've seen the same tech (different video, but same shapes & technology, probably the same people too) quite some time ago - if not years ago. I wonder what they have changed, because tbh I don't see much different with what I saw back then.
As for power, I know another group at my uni did some plasma/laser stuff too and I think it was around 10W CW (and then doing pulsed, of course), but I might as well be completely off.
I do wonder how they change the Z-location of the image. X&Y are done with the scanners, but you'd have to shift your focus along the beam. That, and you'd want a very sharp focus which seems quite difficult to achieve over 2 m.
What I find nice is how precisely they can control the focus point. I would expect this to use several beams, which would intersect in one spot. But this seems to be single beam. You don't need to precisely align individual beams like this.
I guess it uses large aperture, so the focused part of the beam is very short. This would also make beam width at focus point smaller. Ionization requires quite a power density. Also I thought you usually use UV lasers for that. Very interesting.