You can use thin CA, but a word of advice. Ventilation. And plenty of it. Lots of modelers develop serious allergies to CA from the fumes and have to quit using it. I'm not talking about a sniffle or two, but serious breathing problems for days after using it. They are forced to using Titebond or Elmer's Carpenters glue. I fortunately haven't developed allergies yet, but I'm not waiting. I've already switched over. It takes a bit longer to build but easier on the lungs.

I noticed a window behind you building area. Put a fan in the wind to suck the fumes away as you build and you should be ok.