A student sits on a stool that is free to rotate with negligible friction about a vertical axis. Initially, the student is rotating with their arms extended, holding small weights. In this configuration, the total rotational inertia of the student-weights-stool system is \(I\) and the system has rotational kinetic energy \(K\). The student then pulls the weights inward toward the axis of rotation, which reduces the total rotational inertia of the system to \(\dfrac{1}{3}I\). What is the new rotational kinetic energy of the system in terms of \(K\)?