2023 AMC 8 Problem 17

A regular octahedron has eight equilateral triangle faces with four faces meeting at each vertex. Jun will make the regular octahedron shown in the figure by folding the piece of paper below. Which numbered face will end up to the right of the shaded region Q?

\textbf{(A)} 1 \qquad \textbf{(B)} 2 \qquad \textbf{(C)} 3 \qquad \textbf{(D)} 4 \qquad \textbf{(E)} 5

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.