2021 Pascal Problem 13

A robot is placed on the grid shown. The robot starts on square 25, initially facing square 32. The robot (i) moves 2 squares forward in the direction that it is facing, (ii) rotates clockwise 90^\circ, and (iii) moves 1 square forward in the new direction. Thus, the robot moves to square 39, then turns to face square 38, then moves to square 38. The robot repeats the sequence of moves (i), (ii), (iii) two more times. Given that the robot never leaves the grid, on which square does it finish?

\begin{array}{|c|c|c|c|c|c|c|}\hline 1 & 2 & 3 & 4 & 5 & 6 & 7 \\ \hline 8 & 9 & 10 & 11 & 12 & 13 & 14 \\ \hline 15 & 16 & 17 & 18 & 19 & 20 & 21 \\ \hline 22 & 23 & 24 & 25 & 26 & 27 & 28 \\ \hline 29 & 30 & 31 & 32 & 33 & 34 & 35 \\ \hline 36 & 37 & 38 & 39 & 40 & 41 & 42 \\ \hline 43 & 44 & 45 & 46 & 47 & 48 & 49 \\ \hline \end{array}

\textbf{(A)}\ 16\quad \textbf{(B)}\ 20\quad \textbf{(C)}\ 29\quad \textbf{(D)}\ 24\quad \textbf{(E)}\ 25

If there are no answer choices shown, enter a numerical answer.

Full credit to this problem is given to the CEMC, you may view all Pascal contests here.