In my MSE [question][1], "Conjectured connection between $e$ and $\pi$ in a semidisk", the [answer][2] included

$$\prod_{k=1}^\infty\left[1-\big((k+1)^{1/3}-k^{1/3}\big)^3\right]\approx 0.96454\ldots.$$

Does this infinite product have a closed form?


  [1]: https://math.stackexchange.com/q/4915763/398708
  [2]: https://math.stackexchange.com/a/4916881/398708