Ebay refused but PayPal refund to the buyer

The buyer opened a claim but Ebay found on my favour. The buyer then went to PayPal for help, they refund to the buyer. How can I get my Ebay's payment fee back?

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It would have been of interest to have details of what the case was all about as it might have given a clue as to why Paypal allowed a refund after ebay had not.

 

It is most unusual for Ebay to find in favour of a buyer.