I don't know what HB is? HF?
Anyway the "best way" is the way YOU can do it. If it has access on the inside, it's a no brainer. If not, I could not pull it out without being able to dolly it back down because you can't pull it to original shape. At least I could not. It would have highs and maybe lows after pulling. You can't get rid of the highs unless you have a lot of experience and tools. I think the idea is to pull it almost back up and then fill. Don't create any protrusion.
I would have to cut the piece out, shape it and weld it back on. Been there, done that. Works for me.
