Develop a G$-$Code program for pocket$-$profiling this geometrical pattern with dimensional details as shown. Only, the tool path of this geometry is needed. The available end$-$mill has $\backslash (0\mathrm{.}25^\{\backslash$prime $\backslash$prime$\}\backslash )$ diameter. Your tool path should start from point marked as the origin and go thru P$1$ Thru P$13$ and return back to the origin. All dimensions are in millimeter.