Blue feet of baby. To it, will it solve?

Hello everyone, My baby is 1 month old, since birth I have been noticing that is feet are blue and extremely cold to touch and even bit wet, similarly his nail beds are purple since birth till now, whenever my baby has bath his sole of feet turns blue,we did go to hospital to check oxygen saturation which was normal,the nail bed and blue feet is it due to hypothermia? Or something else? , I have read many things on google and I am panicking a lot about it, I did. Mention this to our paediatrician, he pressed his feet and check physically and said it's normal, when he checked the feet was warm and in normal Color, forgot, when I warm my baby feet the feet color changes to normal but the nail bed remains purple, oxygen levels checked is normal, doctors please suggest, I am very tensed, if there is any problem as read on google, is there any treatment to it, will it solve?please share your needful views.