Broke my water pump bolt. Now what? (Update - broken bolt is out)

It's not on the head. It's a timing cover bolt. It's on the front of the block.
Doesn't change the fact left hand bits are a waste of time and will actually make getting the bolt out more difficult if/when the bolt is actually removed....

I own a full 32 bit set of left hand bits, I know when they are useful & when to go a different direction... In this case a welded nut is the best/easiest option...