My baby has eczema!! help

Hi My daughter has severe eczema. She gets really bad red patches all over her face. I notice it if I eat an allergen.

for example DAIRY or if I give her any formula with Dairy! She will flare up immediately I even tried the formulas with the broken down protein but she still flares up . Im

currently giving her goat milk formula temporarily but she doesn’t

want it. Help! Any suggestions for formula or anything else I can do? ps shes 5 months🙏🏻💗