The parts under the Primary Main Jet are called Bleed Pipes. To get them out you need to push them out from inside the carb body. I use a sharp piece of wood dowel so as to not mark them up. Same thing for the Needle jet; push down from inside the carb throat.
Well progress! I was able to get the bleed pipes and needle jets out! However I first tried to use a pointed dowel to do this. And I ended up breaking off a piece of the dowel in both ends of one of the bleed pipes. They are stuck in there! Trying to figure out how to remove them.