Mix the frozen drink base: Add the frozen lemonade, frozen orange juice, cooled strong tea, sugar, vodka, and water to a large bowl.
Stir well: Mix everything until the sugar is incorporated and the ingredients are evenly combined.
Freeze the mixture: Pour the mixture into a freezer-safe container and place it in the freezer until it becomes a scoopable slush.
Prepare a serving: Once frozen, fill a glass about two-thirds full with the Sneaky Pete frozen mixture.
Add the soda: Pour Sprite or 7UP over the frozen slush until the glass is full.
Give it a gentle stir: Mix just enough to combine the fizzy soda with the frozen citrus mixture.
Serve immediately: Enjoy the drink while it is cold and slushy.