Why give it a miss I am sure your daughter will love to see some of the sights [for want of a better word] that can be seen on these evenings. You will be booked in for an early dinner and before the first formal comes and that is quite quickly you might meet other families who have taken their kids before. But if all fails there are plenty other options where you can eat, but I am sure when your daughter gets home she will be telling all her pals what she saw and did. See what other contributors say.
You have paid your daughters fare the same as everyone else so therefor she/you is entitled to treated the same as everyone else if you are happy to take her do so i recommend the 1st sitting & yes they do cater for children's meals i would also take her auto tip off a child of 4 tipping a adult i think is absurd .