Am I a Dumbass or what

I'd say 1/2", its actually sticking out the bottom of the hole just slightly, maybe 1/8"
Tomorrow I'm going to see if I can get ahold of the bottom end with some small vice grips or something and see if I can turn it, if so I could screw it on through and out the bottom.
Tried the punch ground to a point to try and get it to turn, but its down in the hole enough that I can only hit it in one place, cant go back and forth across the flutes.
You need to screw it back up out. Continuing to screw it in in the direction you were going when it broke isn't going to work at all.