Why not just write the name of a season on a corner for each of the 4 configurations and call it a day? The incorrect season on the same side would be written upside down. If the season is wrong, flip/rotate accordingly.
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ɹǝɯɯnS---- ƃuıɹdS----
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----Winter ------Fall
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While not flip or rotate, it is a single operation: "Align the current season to the bottom"