Triangular Tic-Tac-Toe

Logic Level 2

Alice and Bob are playing Tic-Tac-Toe on the above triangular board. They play as in in normal Tic-Tac-Toe: taking turns, each player claims one square. The first to claim three squares in a row (vertically, horizontally, or diagonally) wins.

Alice plays first. Alice and Bob both want to win and play optimally. Which of the following is true?

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