Chapped Lips si baby

hi mommies Need advice po , almost 2 months old na si baby. Nagcha chapped po yung lips nya, and yesterday I noticed na dumugo na yung lips nya . BF baby sya , nilalagyan ko din naman ng breastmilk yung lips nya pero nagdugo pa din this morning. Nangyari din ba to sa inyo? any tips po to get rid of my baby chapped lips?