Question 139
Let a line with the inclination angle of $60^\circ$ be drawn through the focus $F$ of the parabola $y^2 = 8(x + 2)$. If the two intersection points of the line and the parabola are $A$ and $B$, and the perpendicular bisector of the chord $AB$ intersects the $x$-axis at the point $P$, then the length of the segment $PF$ is ( ).