Hmmm,,,broken bolts are always a B*tch to deal with. The numerous ways on Youtube of guys welding things to the broken part, easy outs (never really "easy") and left hand drills to remove broken studs and bolts are in my opinion hit or miss.
It normally just takes patience, a lot of heat, penetrating oil hopefully you have a positive outcome.
I guess in a worst case scenario, I could always drill a broken bolt out and re-tap to the next larger size if there is enough material to do so.
I have a Bridgeport in my basement, so I can do repairs the averagely person can't.
Regards
Jeff