Why are you complicating things?
Add another edition of the same book. That way you can reread as much as you want. You can add 20 editions of the same book if you reread it 20 times. You will have duplicate editions in your read shelf but who cares about that when you can set a start date and end date for every re-read and not screw up your challenge that way as you will by changing the dates on a single edition.
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