Welcome to the forum Nathan.
Someone else may correct me if I am wrong, but I have read somewhere that the 12.8 cm Pak 44 and Pak 80 were actually the same gun, just given two different names.
The second gun often mentioned as being fitted to the Jagdtiger was in fact an 88mm. It was apparently fitted to no more than 6 Jagdtigers (if any, as this is still a matter of conjecture) as the gun mounts for the 12.8 were supposedly not ready at the time.
So Nathan, grab a nice turned Pak 44 and be happy