I have watched COUNTLESS videos of how to remove the plunger in a Savage 11 so that I can properly headspace my rifle. All videos have stated that a 1/16th punch is needed but a 1/16th punch WILL NOT go in the pinhole. I have tried a 1/32 punch but the pin WILL NOT BUDGE. the extractor was a breeze to remove but the tiny little pinhole is giving me problems.

I put pressure on the plunger and try to drive out the pin and I've hit it HARD, but it will not budge. I rented the headpace gauges so the clock is ticking. What the hell am I doing wrong?!