Geo, I'll try not to rain on your parade to hard, but a few pointers. The airbrushes, and compressors, all have a basic design, but are made be several different manufacturers. For the Air compressors, while they may look similar, and a lot of the parts are interchangeable, there are differences in things and quality. The airbrushes have about 3 different internal designs and there is a fair amount of interchangeability between those, things like needles, tips and O rings etc, again numerous different manufacturers of said designs.
I have several different ones including the same one that you have that I also got with a CT compressor, which, by the way quit after 2 weeks. The quality of those airbrushes is pretty hit and miss, so you may have a good one, or not. Regardless of the quality issue the one thing I can say from experience is that none of them, no matter how good they are, will work as good as good brand name airbrush, and I would never under any circumstances recommend one to an airbrush newbie.
Case in point, check the color cup, I would be very surprised if it didn't look like this on the inside.
Notice how far up inside the cup the top of the siphon tube is, and here it is compared to the badger
You'll have a fair amount of paint left over when the airbrush can no longer siphon......Ah, but the good news is few a few bucks you can pick up a new Badger cup and use that.
The bonus being that if it still doesn't work out for you , for a few more bucks you can buy everything you don't see here and I'll send you everything you do,
Or you could just run out and buy a new Gravity feed..........