You can now check what games in your Steam library are Steam Deck Verified - Neowin
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Steam Deck Now Has Over 7000 Playable Verified Games
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The Steam Deck's verified games process is very confusing
Steam Deck compatible games: almost 300 games given Verified rating - Polygon
Valve's “Deck Verified” program evaluates which Steam games are Steam Deck-ready
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Steam Deck hits over 10,000 verified and playable games
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Steam Deck :: Deck Verified