Like poison chocolate...

The coin can only be moved up, left, or diagonally up-and-left.

Charlie and Tracy are playing a game on a $5 \times 3$ grid with a coin in its lower right corner. The rules are as follows:

• Charlie goes first, then they take turns moving the coin.
• The coin can only be moved one space up, left, or diagonally up-and-left.
• The first one to move the coin to the upper left corner wins.

If both play optimally, who will always win?