Broke the exhaust stud then the extractor what now?
I did the same thing on my last engine, this is what I did.
After I broke the EZ-out, I ended up cutting a slot in it so I could use a screwdriver on it. But before I did, I heated the area around it with a torch, then sprayed it with an inverted can of compressed air to freeze the EZ-out. I then used a large flat blade screwdriver to remove the EZ-out. It actually came out easily, just remeber to twist in reverse. I then drilled out what was left of the bolt 1 size oversize and re-tapped it for a bigger bolt.