AMC 12 2023b Problem 9

What is the area of the region in the coordinate plane defined by

$\left||x|-1\right|+\left||y|-1\right|\leq 1?$

\textbf{(A)}~2 \textbf{(B)}~8 \textbf{(C)}~4 \textbf{(D)}~15 \textbf{(E)}~12