Hands are the whole language here, and the show trusts you to understand why without explaining it. The pacing doesn't let you think, it just shows you one small magic after another until you realize you're watching someone fall in love with being alive. By the time it ends, a carousel spin and an outstretched palm mean everything.
Te no Naka no Mahou is a single-episode music piece about the magic held in human hands. It celebrates the everyday things hands can do: sketching a picture, holding on to the reins of a carousel ride, and stretching upward in the hope of being lifted up. The short presents these simple acts as small wonders in their own right.