If the box ended up at the same height above the floor as it started, then
no gravitational potential energy was added to the box in the form of work.
It doesn't even matter if the box moved up or down on the way.
Of course, work is done, and calories are expended. That's only because
your body is not 100% efficient, and it takes work to move arm and leg
muscles, walk, breathe, etc. But no work is done on the box as it moves
horizontally.
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