I think you should just apologize for the mishap and move on to other business. Any attempt to give extra stuff will just be looked at as a bribe. Probably why the extra stuff offered was declined. Any retaliatory words or actions towards the winner, who is at no fault of their own in this matter, would just look bad upon you. Just apologize and move on. If the winner still continues with the malcontent behavior, repeat the apology and note that it isn't the first time for the apology.
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