I had a similar issue with my crank, I used a "straight flute" drill bit and was able to remove it. Obviously I had to get a new crank. The bike shop put it on with red Loctite.
> fluted extractor
https://www.amazon.com/Irwin-Tools-53645-Straight-Extractors/dp/B001MXRPXY
Like this?
straight fluted easy out.. a set of tap sockets.. tap sockets are specials for use with threading taps.. there is a chance one will fit the straight fluted easy out..
https://www.amazon.com/Irwin-Tools-53645-Straight-Extractors/dp/B001MXRPXY
https://www.amazon.com/CTA-Tools-9030-Extractor-5-Piece/dp/B00IYTFSM4?ref_=ast_bbp_dp
https://www.amazon.com/Vermont-American-21872-Straight-Extractor/dp/B000CEMSHM?ref_=ast_bbp_dp
tap sockets... https://www.amazon.com/Lisle-70500-Tap-Socket-Set/dp/B0002SRFOE/
so you can get a socket on it way down the spark plug hole..
chances are somebody cross threaded the spark plug and just cranked it in till it almost broke.. or you exerted enough force when it seized taking it out.. that you snapped the spark plug in half.
It's one of these