Ay, hindi talaga yan normal, most babies at that age may natitipid na nails na lumalaki, pero yung pagtatanggal mismo is usually a sign na may problem, like infection o sobrang sensitive yung nail bed niya, kaya mas okay na i-check ng doctor agad para malaman kung ano ang exact cause. One of my mum friends' baby had something similar and turned out may fungal infection, so better safe na lang talaga at mag-consult na kayo para malinis ang worried mo at malaman kung ano ang treatment needed!