Breastfeeding and Baby's Skin

G✨

Does your diet affect your baby's skin? I try to stick to a plant-based diet.. I cook & bake vegan at home. When I'm out I may occasionally have meat (mainly chicken, goat, beef, fish, lamb) and dairy (milk products, cheese).. My baby is 3 months and couple days and he has eczema which I think looks and feels kinda bad. Should I make any diet changes to see if it helps?? Any suggestions - even if not about diet - are helpful. Thanks!