the weather is humid here. i myself shampoo daily cos if not my hair will get greasy. my 3rd born is a month too. he showers and shampoo twice a day (morning and at around 5:30pm) if the weather is cooling, he will shower and shampoo daily, once in the morning and i will do a wipe down in the evening.
erm in singapore climate it’s very normal for hair to be greasy. best to shower daily!
think it's normal, SG is really humid