So, let me get this straight. Possible scenarios for tomorrow afternoon:
Sox win, Twins lose: Sox move into first by half a game. Winning the DET game clinches division, losing it forces a one-game playoff.
Sox and Twins both win/lose: Sox remain a half-game behind. DET game is played, Sox need to win.
Sox lose, Twins win: MIN clinches.
There's still hope, but it's an uphill battle.