Build an unbroken chain between your two sides - someone always wins
Hex is played on an 11x11 board of hexagons slanted into a rhombus. You play the red stones and own the left and right edges; the AI plays blue and owns the top and bottom. Red moves first. On your turn, place one stone on any empty hexagon - stones never move and are never captured. The first player to build an unbroken chain of their own stones linking their two edges wins immediately.
What makes Hex remarkable is that a draw is mathematically impossible: once the board fills up, exactly one player must have a connection. Every stone you place does double duty, because a stone that extends your chain also stands in the way of your opponent's. Competitive Hex often uses a "swap rule" to offset red's first-move advantage; this version plays without it, so make that first move count.