Rice cereal

What are your opinions about adding rice cereal to a babies formula and/or breastmilk? My LO acts so hungry at night! She cries from 7-1 am and eats on the hour. I feel bad because she acts so hungry and I get upset because I am also tired. It isn’t a colic cry either, it’s just a hungry cry. She’s 1 month old and eats 4 oz or formula.