I regrettably now have a Finnair booking

I will fly in Business from Tokyo to Helsinki, connecting to Stockholm Bromma on the same booking. As the final leg is operated with an aircraft without Business class, my ticket says Economy and that my carry-on is limited to 8 kg. Does Finnair have any policy to allow the 12 kg carry-on quota on from the first flight on to the connecting flight, or am I basically forced to stick to 8 kg from Tokyo? That is, if they check it.