Keep it lubed .... keep it straight .... and keep it slow. It will come out.
Seventy I'm with Badstang (usernames utlized Justin-case of confusion
Other possibilities that might (or might not
Old school from Grady and my day: Hitting the area carefully with a torch while melting wax around the edges of the EZ out. The wax slides down the thread interface and can act kinda like thread lube.
I've never done it but some will tig a fastener to the broken piece.
Good luck bud.