There are 3 shapes on a 6x6 grid. Which shape is closest to the purple right_triangle in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index).
<think>Target shape: purple right_triangle at (0, 2)
Distance from target shape to gray right_triangle at (3, 0): 5
Distance from target shape to orange square at (4, 1): 5
Closest shape is the gray right_triangle at (3, 0) with distance 5</think>

<answer>(3, 0)</answer>