Peculiar Eating Competition
Charlie and Alex are going to the chocolate factory. They purchase a chocolate bar that is divided into a \(3 \times 4\) grid and play the following game. Taking turns starting with Charlie, they break the chocolate along a straight grid line through the remaining chocolate, eating the smaller piece and leaving the larger piece for the opponent. The game continues until a player is unable to make a move, and this player has lost the game.
If they play optimally, who will win?