I always recommend seeing where the pin actually strikes, if the pin is tapered, and if the pin is made out of something harder than the surface it is hitting.Dont care what the manual says.
Chamber iron and quit dry firing it.
Should be good to go.
The old HS are NOTORIOUS for the chamber firing pin mark. I cannot tell you how many I've had to iron or rechamber.Ive run old Colts, High Standard, Rugers, Brownings and other.
Even if the manual says dry fire OK, I just avoid it on rimfires.
Have seen many cylinders w hits between chambers from fanning LOL
Usually on cheap German SA stuff.
I never got into playing cowboy.