daycare rant- want me to come nurse her 3x a day

I go to nurse my EBF baby at daycare on my lunch break as she really hates bottles (we tried 8 types and everything we could since 2 months old, she's now 4 months). Daycare says she cries too much as she won't take bottle, they want me to come nurse her mid morning and mid afternoon too!? I work full time, I can't do this. I am unsure what to say to them. She's above average weight, she nurses extra before and after daycare. She can go 4 hours without nursing right?