More poison chocolate

Charlie didn't like the outcome last time, so Tracy suggested playing a different version of the coin-moving game. This version is played on a $5 \times 5$ grid with a green square in the middle and a coin in the lower right corner. The rules are as follows:

• Charlie goes first, then Charlie and Tracy take turns moving the coin.
• The coin can only be moved one space up, left, or diagonally up-and-left.
• If a player moves the coin to the green square, that player must move it again.
• The first player to move the coin to the upper left corner wins.

If both play optimally, who will always win?