I've recently beaten the game Pyre and it got me thinking

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I've recently beaten the game Pyre and it got me thinking about tabletop sports games. But not just talking about something like Bloodbowl, where it's just about beating your opponent. I'm talking about table top games that are still focused on roleplaying and adventure, but the main form of narrative advancement is through a sport of some kind, and not just combat or politics or whatever.

Are there any tabletop games that do that?
If not, how would you try to make such a game or campaign work for table top?
Would it be best just to make it a standard adventure campaign, only the fights are sport and people come back after you defeat them, or is that too little to get the atmosphere of a team traveling and competing with other teams?