Answer
The torques will also balance if the rotation axis is chosen at point C.
Work Step by Step
In the Review & Summary section on page 343, the text states: "Static equilibrium also implies that the vector sum of the external torques acting on the body about any point is zero."
The torques balance about the rotation axis through point $O$. Therefore, the stick is in equilibrium.
According to the text quoted above, the torques will balance about any choice of rotation axis.
Therefore, the torques will also balance if the rotation axis is chosen at point C.
