Only between works in your example. The idea here is that you don't have much free time between any two of the given items. (that is, you don't have much free time between sleeping and work but also between work and working out as well as working out and sleeping) between is used when you can establish a one-to-one relationship between any two items.
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Aspara GusSo I wouldn't call among wrong, …… in the three-choice example, of course.