If the angle made by the tangent at the point $(x_0, y_0)$ on the curve $x = 12(t + \sin t \cos t)$, $y = 12(1 + \sin t)^2$, $0 < t < \frac{\pi}{2}$, with the positive $x$-axis is $\frac{\pi}{3}$, then $y_0$ is equal to\\
(1) $63 + 2\sqrt{2}$\\
(2) $37 + 4\sqrt{3}$\\
(3) 27\\
(4) 48