broke 906 stud, while drilling broke the bit

I broke #1 cylinder 906 exhaust stud, while drilling broke the bit :oops:and it's gone inside the water jacket. Any ideas what to do next? Will it theoretically end up in the water pump if it doesn't hang up inside the head? I put a chaser wire in approx. 4.5 " and never bumped it, I figure I lost about 2" of bit in there.