I’m sure there’s a cheaper way to clean a dishwasher than to put heavily marketed, sugary “breakfast drink” powder into it. Tang is citric acid and sweetener and artificial flavor that tastes like moon rocks.
The dishwasher is cleaner, though, which is a good thing.
Other suggestions for cleaners include vinegar, straight citric acid, borax, and baking soda. None of those have the astronaut cachet.