Is a baby born on Shabbos Muktza as Nolad until the end of Shabbos?
I mean, he is quite literally Nolad - born on Shabbos. I understand that anything that the baby needs would would obviously be Mutar - the baby would be treated as a Choleh Sheyesh Bo Sakana. I'm asking about handling the baby when it doesn't benefit the baby in any way, for example if you want to change the baby into cuter clothing or something like that.
(Note that I am aware the Minhag is not to treat the baby as Muktza. I am primarily asking why the baby is not Muktza.)
Any sources you could provide would be greatly appreciated.