In my opinion the tool is equally as important as the solvent - I use a thick piece of piano wire about 4 inches long with the end bent like an Allan wrench shape- it’s is stiff but thin enough to scrape out all the old garbage in the teeth but also between the sides of the fixed drive gear and chassis.
I can get 95% of the old stuff out with tooling/paper towel and then it’s just burnishing the worm gear with paper towel and mineral spirits.