I have upcoming multi-carrier travel and I'm trying to verify my luggage allowance. Can't get hold of anyone at SQ, so hoping you'll be able to help me here.

Trip is AKL->SIN (SQ in C) connecting SIN->ZRH (LX in F). Ticket stock is UA.

From what I gather, the most significant carrier is Swiss (SIN->ZRH) so the Swiss First allowance will apply. Does that sound correct?