If the tangent to the curve \(y = x^{3}\) at the point \(P\left( t,t^{3} \right)\) meets the curve again at \(Q\), then …

If the tangent to the curve \(y = x^{3}\) at the point \(P\left( t,t^{3} \right)\) meets the curve again at \(Q\), then the ordinate of the point which divides \(\text{PQ}\) internally in the ratio \(1:2\) is :

[JEE Main 2021, 24 Feb (Shift 1)]