Could I make Sangria popsicles in my freezer, or does the temperature have to be even colder because of the alcohol content?

My dad has a bottle of gin in our freezer, and it doesn’t freeze (obviously because its not cold enough too), but does that mean something like Sangria wouldn’t freeze, either? It only has a bit of strong alcohol, so I’m not sure what would happen if I tried to freeze it. Has anyone here tried? Does my freezer have to be at a certain temperature?