Yep, you can get it out, but you need to make a tool for it..
I have a number of old plug tools from motorcycle toolkits, basically just a piece of tubing swaged to a 13/16" hex.
You have to cut the tool down, so it can get on & off the plug, then either weld on a handle, or drill two holes and make a bail style handle from some 3/16" round stock.
Good info on McMaster, Grainger etc. Thanks for the legwork.