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Yeah it should the game is Xbox one version so it's foward compatible you just might not get the best resolution as if it were a Xbox one x copy and the console is just a special edition limited console so it shouldn't have any bearing or effect on games it should play them just fine like a regular Xbox would.
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![Grand Theft Auto V Premium Edition - Xbox One [Digital]-Front_Standard](https://pisces.bbystatic.com/prescaled/500/500/image2/BestBuy_US/images/products/6488/6488433_sd.jpg;maxHeight=100;maxWidth=60)