Can he take a bath yet? Umbilical cord healing

It fell off a week ago, he’s 3 weeks old now and that little bit has been there since it first fell and doesn’t seem to be going anywhere anytime soon and my baby hates sponge baths. So he hasn’t had any bath other that a few wipes between some rolls with a wet wipe here & there 🤦‍♀️ his hair smells like mine after not washing for a week lol.