That sure look slike the exzct same gun all right!
Victoire!
From what I understand (and once again I could be wrong) "bis", meaning "the second" in latin and french, is because they gave a second life to that gun by changing the flintlock into a caplock.
We can maybe find more about it with the dates and serial numbers on the gun.
It could be neat to learn if it was issued to any special unit of the military and maybe find out if that gun could have took part in some battles.
There is more informations on that website about this type of guns, I haven't read it yet.