AMC 12 2022b Problem 1

Define $x\diamond y$ to be $|x-y|$ for all real numbers $x$ and $y.$ What is the value of $$(1\diamond(2\diamond3))-((1\diamond2)\diamond3)?$$

\textbf{(A)}\ {-}2 \textbf{(B)}\ {-}1 \textbf{(C)}\ 0 \textbf{(D)}\ 1 \textbf{(E)}\ 2