The Dreyse Needle Gun, a rather remarkable weapon for its time, breech-loading rather than muzzle-loading, making it much faster to shoot, although it was not particularly easy to fire as many shots as a musket due to the bore getting rather filthy. This is a game, so that's not an issue lol.
These were Prussian weapons, issued all the way back in the '40s and made their way through most of the 19th century, and by '40s, I mean 1840s.
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