Problem 11 (2025 AMC 8)

A tetromino consists of four squares connected along their edges. There are five possible tetromino shapes, $I$, $O$, $L$, $T$, $S$, shown below, which can be rotated or flipped over. Three tetrominos are used to completely cover a $3 \times 4$ rectangle. At least one of the tiles is an $S$ tile. What are the other two tiles? [See figure in original PDF]