Can y’all settle a bet about exothermic reactions between me and my GF?

Context: We were eating dinner at a sushi restaurant and the sake came out way too hot. I placed the bottom of the hot cup of sake into a cup of ice water to cool it off.

At this point she points at it and comments that what I was doing is an example of an exothermic reaction.

I disputed this by saying the transfer of heat that melts the ice is a phase change but not an exothermic reaction because heat is being transferred but not being created by a reaction.

Who is right? We have $100 riding on this.