OK, got about 2/3rds of the sleeve out with the help of some side-cutters and a screwdriver. What's left in there looks really melted on.
I think I will get a new coil and maybe work away at this one later. I might be able to file what's left of the sleeve down, but I am not that patient right now.
Remember you also have to be wary of the fact that "something" caused the flipper to "meltdown" in the first place.. you really need to work on that.