My wife and I will be traveling, with our infant son, this summer to a destination in the caribbean. This will be the first time we ever flew with him. I am more than likely going to book our tickets using TrueBlue points. The baby will be under one year old at the time of flight. Will I need to pay for my infant son via points even though he will be a lap child? How exactly does it work? Thank you

(I have mosaic status of that has any bearing)