Let z be a complex number such that $\mathrm{Re}\left(z\right)=2$ .If area of a triangle whose sides are represented by$(-i\hspace{0.17em}\hspace{0.17em}(2z-z^2)),(2z-z^2)$ and $\left((1-i)(2z-z^2)\right)$ is $16$ sq. units, then ${\left|z\right|}^2$ is equal to: