I just barely know that eBay has its own NFT marketplace, after looking around turns out that eBay has already taken an interest in NFTs way since early 2021[1]. In November 2021, they just started accepting the NFT business[2].
Nevertheless, from the exclusive NFT that you stated, it seems that the NFT marketplace isn't directly integrated with eBay, instead, the claim process happens outside eBay. So look like that eBay only lists an NFT, not being able to buy/sell directly within the site.