Let an ant starts from the origin $\left(\mathrm{O}\right)$ and travels $2$ units on negative $x$-axis, $3$ units on positive $y$-axis and travels $3$ units on negative $z$-axis to reach at point $A$. If $\overrightarrow{a}=\widehat{i}-3\widehat{j}+2\widehat{k}$ and $\overrightarrow{b}$ be such that the resultant of $\overrightarrow{a}$ and $\overrightarrow{b}$ is $3\widehat{i}-4\widehat{j}+\widehat{k}$, then ${\left|\overrightarrow{OA}\times \left(\overrightarrow{a}\times \overrightarrow{b}\right)\right|}^2$ is equal to