Well, from looking at the firing pin assembly, it doesn't look easy to take apart at home.
From what I recall when I had mine, the cocking piece doubles as the firing pin stop, there is no "adjustment" anywhere on the assembly, so yeah, I'd be curious to the fix as well.
600 mags are garbage as well btw.
I bought one, gave it a go, realized it's kinda garbage, I've owned too many different rifles to even mention here, the initial appeal was the switch barrel they promised, first few months after release someone in the US blew his up after switching barrels, dunno what happened, but it ####canned the whole switch barrel idea. Maybe too complicated for the average dummy? I dunno but it should have been designed so that could never happen. They dropped the 527 and 557 to make these 600's, I wish there was something I could like about them, well actually there is... fully nitrated on all steel parts, that's a good thing. Otherwise there isn't anything I like.
Should not happen at all with 223 like OP issue.
I shot a bit of steel case x39 Barnaul through my 527 worked fine, #### accuracy but all went bang. I wouldn't shoot surplus corrosive through my 527, it's way too nice and #### accuracy, that's for SKS and stuff lol.
Handloads with the x39 527 are silly accurate, ragged hole, I was impressed enough that I dished out for a 223 version just before they were off the shelfs, it's also silly accurate.
Plus...look at this thing, everything is the right size for small cartridges, set trigger comes standard, no plastic, just refined awesomeness lol.