Dez is on the right track I believe. I too have seen this grove worn by a sticking firing pin. In extreme cases, the pin nails itself into the primer and locks the breech closed. The poor old rifle often got kicked and beaten to get the breech open A very common thing to see on Canadian Sniders after being in civilian hands for several generations. One of the things I check for when evaluating a Snider is if there are any bruises on the wood from missed swings with a hammer or rock, from trying to get the breech open.
The trick is to undo the nipple and pull the firing pin back manually. But not everybody has a nipple wrench, but they do have a hammer.
The firing pin can get stuck from a shard of brass if the primer is pierced or if extruded back into the hole if it has worn too big.
This one looks like that some smart fella filed a relief groove so that a sticking firing pin would never cause a lock up problem.
Looks dodgy to me, but if the cartridge body is supported, it might be ok.
Cadet carbines were not intended for ball, but they were live rifles capable of firing it.
Front sight is rudimentary and is a bead sight similar to that found on shotguns.
Their use was more as drill rifles for cadets on the parade square. Capable of blank fire for a Feu de joie.
This one obviously has been shot many times in this state. But just be sure to wear decent shooting glasses. You now have a gas escape for pierced primers going straight up!
I would let my brother in law shoot it.