The name should just be chocolate milk 2.0, because this drink is in no way hot, nor in any way close to regular chocolate milk. It’s just simple chocolate milk, with whipped cream, chocolate syrup, and all, but with chopped-up ice cubes interspersed to keep it cool.
That way, on those hot summer nights, you can enjoy decadent chocolate milk without sacrificing the temperature.
Just ask for the Frozen Hot Chocolate, and if they don’t understand, ask them to blend ice cubes into a normal hot chocolate. I can’t ensure that this will be available all year, but when it is, you should take advantage of it.