Cooling off food: "blow the soup" or "blow at the soup"

Question

You have a bowl of hot soup / a stick of cold ice cream.

How do you express that you want to cool it off / warm it up by sending air from your mouth to it?

Is it accurate to say

1. "to blow the soup to cool it off" OR "to blow at the soup to cool it off"

2. "to blow the ice cream to warm it up" OR "to blow at the ice cream to warm it up"

Answer 1

If my table manners were indeed that appalling, I'd "blow on my soup" to cool it.

Never thought of doing something similar to ice-cream, the whole point of ice-cream is to eat it when it's as cold as possible.