There are 3 shapes on a 7x7 grid. Which shape is closest to the gray square in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index).
<think>Target shape: gray square at (6, 2)
Distance from target shape to cyan right_triangle at (0, 4): 8
Distance from target shape to purple right_triangle at (0, 2): 6
Closest shape is the purple right_triangle at (0, 2) with distance 6</think>

<answer>(0, 2)</answer>