So here we are at a fairly scandalous question:
This cartridge is going to be a nightmare to allocate and therefore this gun is not going to be any fun at all to shoot.
I just ran the measurements and it looks like the chamber could be recut to 8x57JRS. The barrel is about .323 so the .324 bullets should go through without a problem. The proof marks on the gun are close enough that I'm not certain it would even "knock it out of proof". The era of the gun was correct for 8x57. The measurements of the barrel are right to accept 8x57. Guns like this most commonly had 8x57. And the only proof I have right now on the gun that alludes to cartridge beyond 8mm is a 58, which could easily have been the chamber length of an 8x57 JRS.
What do you think? Unfortunately, not much rifling left so the best I can hope for is minute-of-boar accuracy at 50 yards.