DKS
Wax on, Wax off.
So do I still need another car wash solution to put my mitt in or can I just use the foam that gets placed on the car?
You're going to rinse the initial foam off the car to get rid of the dirt. That's the point of using it. If you use your mitt on the car before you rinse the foam/dirt off it's defeating the purpose of foaming and pressure washing it.
However, you can foam then rinse, and then use a foam gun like the Foammaster II to foam as you wash. I don't do this method, but lots of people do. You still have to have a rinse bucket with a grit guard if you're doing it this way to clean your mitt each time.