Bring all the ingredients into a high-speed blender or food processor.
Blend on high speed, using the tamper tool of the blender to push down the frozen fruits close to the blade and smash into a smooth icy slurry. If it doesn't come together, add 1 teaspoon water at a time until it forms a smooth, icy mixture that you can scoop.
If you added too much water, it would turn into a very soft sorbet. If so, freeze for 1 hour before serving.