AMC 8 2022 Problem 2

Consider these two operations: \begin{align*} a \blacklozenge b &= a^2 - b^2 a \bigstar b &= (a - b)^2 \end{align*} What is the value of $(5 \blacklozenge 3) \bigstar 6?$ $\textbf{(A) } {-}20 \textbf{(B) } 4 \textbf{(C) } 16 \textbf{(D) } 100 \textbf{(E) } 220$