Did you get that thing out? Last idea I got is to cut around it. I've seen guys make tiny hole saws out of stuff for wood. Kinda found a half-assed vid searching "tiny hole saw." I'm not sure how well it would work with plastic. It kinda looks like the do make small diamond saws, but that's time and money.

Unfortunately, it wont leave it fully in tact either ~ https://www.youtube.com/watch?v=bD6ibqWpVCM