You have to get the emulsifier/main jet out of the carburetor body before you will get anywhere. If it doesn't come out easily, it is probably stuck in by hard gum. That happens a lot to Honda emulsifiers, and is something of a hassle with them, because they are only held in by the main jet screwing up from below and pressing hard against the bottom of the emulsifier. With those, you mustn't push down hard from the top or you'll damage the top of the brass emulsifier, which is the discharge area. In the case of your Tecumseh though, I suggest that the emulsifier probably screws in with a thread near the bottom, and there is currently lots of hard gum gluing it in place along the length of that thread. Just check whether there is a screwdriver slot in the bottom of it, right above where the mixture screw goes in. (Most likely the slot will have been completely trashed by the yahoo who had it before you.) You have to remove the gum so you can unscrew it, and this whole exercise will be quite a trial if there is no slot left. Regardless of that, removing all of the gum is the first step. I rather suspect that in the end the emulsifier will be a total loss by the time you get it out, and you'll have to source another one somehow. I don't think it will be possible to clean out the lateral/radial holes in the emulsifier without removing it from the carburetor. Please keep us posted as you go with this, before you trash it the rest of the way, just in case we can find a non-destructive solution.
