[jakeru]

I'm trying to decipher your statement or question.

You are working on your exhaust manifold, and broke three of the manifold fastening bolts.

I honestly couldn't follow the rest. You use a question mark in your thread title and last sentence, but it's not clear to me what you're asking.

Please restate the question or clarify your observation?

("Re-tapping" or re-threading might be what you did to the threaded aluminum hole in the cylinder head after you damaged the original threads extracting the broken bolt, I suppose?)