Vegetarian baby

Anyone raising a vegetarian child? We eat dairy and eggs but no meat (husband eats seafood). We plan to introduce fish/shellfish for allergy purposes but I was wondering if the same applies for meat like chicken/beef/etc? I know a vegetarian diet can be complete nutritionally so I’m not worried about that in the long run, but I’m asking from the side of allergies or nutrients needed for infants. Thank you!

EDIT: I am of course going to speak with my pediatrician and see what they recommend but I’m curious what other families have done!