If it's not six, then it must be

Consider a triangle $ABC$ and $M$ the middle of the segment $BC$ . Let the angle bisector of angle $AMB$ intersect side $AB$ at a point $E$ and the angle bisector of angle $AMC$ intersect side $AC$ at a point $F$ . If $AB=15, MC=5$ and $AC=12$ , find the integer value of the perimeter of the triangle $AEF$ .