KANSAS CITY, Mo.—Two Tennessee Titans defenders chased Patrick Mahomes out of the pocket, nearly out of bounds, and a third lumbered after him down the sidelines with seconds left in the first half. Two more tried to stop him before he reached the end zone.

They failed, and in that moment, even the most neurotic Kansas City Chiefs fans—who have suffered decades of misery watching their team vacillate between mediocrity and big-stage failures—could understand why this team could be different.

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