Kroil and a small hardwood dowel worked just as recommended! 8 pellets in total. It apparently won't produce enough air pressure (for lack of a better description) for the pellet to clear the bore. Tried it 3 times, had to push them out.

It's a Cometa-300. Don't think it had ever been out of the stock or seen a drop of oil. Oh well, they seem to be doing fine with the little Airmaster.