Maybe try putting some super glue or 5 minute epoxy on a stick or rod and let touch the broken part, and dry, then see if you can gently pull it out without breaking the glue. Some of that stuff dries pretty strong, I have used this trick to pull slip pins out of holes,or broken slides out, maybe it will work for you.
2000 Indy 500 XC, Fox shocks up front, M10 trail in back. '99 440 XCR for my son. 96 XCR 600 SP tripple pipe, 862 miles on it !! (until it snows....then look out, odometer !!)