When can i take a newborn out in public

Victoria

So im currently 38wks pregnant and im getting induced sunday night so baby should be here sometime monday. My boyfriends nieces bday party is next Saturday at chuck e cheese and his family wants us to bring the baby to the party. We have told them we are not sure yet bc the place is going to be crowded with kids and we all know those places aren't the cleanest and i really dont want to be passing my baby around to everyone since hes only going to be 5days old. I was just wondering what you ladies think .. should i take my baby or is he still too little ? TIA