I do gunked up carbs on a weekly basis. Most jets just have threads that are "varnished" in.
To remove these I use a butane torch at the threaded area. This softens the varnish and the jets come loose nicely. You dont have to use much heat at all.
In your case an easy out and heat will do the trick.
This one has my vote. I would emphasize the "not much heat" part. You're working with brass and aluminum. A little heat, a light rap with a plastic mallet, and it should come out. If not, wash, rinse, repeat.