Taking baby to ice rink outfit?

Emalie • Mom of 3 with 4th on the way!

What would you wear on your baby at an ice rink? My husband has a game tonight and we want to go watch! It’s pretty cold. I plan to wear baby in my moby wrap. How many layers should he be in? I have fleece sleepers and I also have a fluffy snow suit type one piece. I don’t want to over do it and make him too hot. But of course, I’m also afraid he will be too cold! I’m a very nervous mom lol 🤦‍♀️

Baby is 8 weeks old.