Well Judy, you seem to have jinxed me as well.
I broke a bit today so I drilled another hole. Still not sure why the bit broke
The cut-out was so small I couldn't cut past the broken piece of drill bit without making the hole much larger than it was supposed to be. Fortunately it was a test piece to see if I could make the tiny cut-outs so it wasn't a large problem.
I also learned that the a scroll saw blade can't cut a drill bit, broken or otherwise, and after you try to cut the bit, you can't then cut wood.
Live and learn.