I suggest that you should soak it in carb cleaner for a few hours, then blow it out, just to be sure you have removed all the gum. From your report, it sounds as if fouling in the idle system has been the problem. Since you have only half-done what you are supposed to do, and that has only half-fixed it, doing exactly what is in the manual seems to be the next step.
I have had a carburetor that I sprayed carb cleaner through a couple of times, then found that the main jet and emulsifier were still completely blocked. Hard gum is really difficult to remove. Soaking should fix it. My way up to now has been to use the correct diameter jet drill bits for each hole, and re-create all of the missing holes that way, but generally I think soaking is gentler and more practical.
