Cleaning Mr. Surfacer out of airbrush?

Guys, I screwed up.

So I’ve only been into building minis for a few months, and successfully completed a couple of models. Today I started a new one (Academy F8E in case you’re wondering), and decided to try my hand at using laquers.

I started out by trying to spray the parts with some Mr. Surfacer 1200. But it sprayed awfully. Realizing I may have gone in over my head, I emptied the AB back into the jar, poured some Tamiya Laquer Thinner into the AB cup, swished it around and wiped it with a paper towel, and then sprayed some Tamiya Laquer Thinner through the airbrush. (Yes I know that’s bad for the O-ring, but at this point I was sure this would be my last attempt to foray into the world of laquers for a long time). It seemed to work for a few seconds, as some bluish-grey was spraying out onto the paper towel I was holding up, so when it stopped, I assumed I had gotten all of it out and tried to switch back to some PG-rated Tamiya Acrylics, but now nothing sprays out of my airbrush. Just air. I think some of the surfacer dried up in the airbrush.

Can I do anything about this?