Consider a triangle ABC with vertices at $(0,-3),(-2\sqrt{3},3)\text{ and }(2\sqrt{3},3)$ respectively. The incenter of the triangle with vertices at the mid points of the sides of triangle A B C is $(\alpha ,\beta )$. Then $2\alpha +3\beta$ is _____

Mind points of the sides of the triangle ABC are $P(0,3);Q(-\sqrt{3},0);R(\sqrt{3},0)$ PQR is an equilateral triangle with each side of length $2\sqrt{3}$ so its in-center is same as its Centroid and hence its co-ordinates are (0, 1)