I went to tap the hole with a punch to set a pilot spot... and when I did that, I saw something inside the whole move. It appears that somebody (before me owning the bike) had already tried to remove the bolt, and broke their tool off inside the hole.
I have tried about a dozen drill bits... I just keep getting to the point where it will just NOT drill in any further. The hole I drilled is only about a 1/4" deep if that... so no extractor in the world is gonna work now... plus it's a hack job... it's not even a nice centered perfectly straight hole at that.
... I am really frustrated and have no idea what to do next, as I don't want to have to take the head off to bring it in to a machine shop. I suppose I could just get somebody else to do the job at my Local Bike Shop... but I'd REALLY not want to do that unless I had to...
TIA for the input!

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