Won't print black, yellow, or cyan ink, despite new cartridges.

Hi all!

So I bought this printer second hand, bought brand new ink for it, and it’s not working. The ink levels say they are full (or near full), the ink tray moves, and the magenta color works fine. But attempting to print in black/white gives me a blank page, and attempting to print in color only registers the magenta ink. I have attempted to clean the inkhead using the diluted water on a paper towel method (several times over several days) and while that did draw out a lot of ink, it’s still not printing anything.

Any suggestions would be helpful!