AMC 12 2023b Problem 8

How many nonempty subsets $B$ of $\{0, 1, 2, 3, \dots, 12\}$ have the property that the number of elements in $B$ is equal to the least element of $B$? For example, $B = \{4, 6, 8, 11\}$ satisfies the condition.

\textbf{(A)}\ 256 \textbf{(B)}\ 136 \textbf{(C)}\ 108 \textbf{(D)}\ 144 \textbf{(E)}\ 156