In 2023, as a consequence of refined decoupling, Carbery-Illiopoulou-Wang showed the Mizohata-Takeuchi conjecture for the parabola with an R^{1/3}-loss (in fact they proved a more general result involving C^{2} hypersurfaces in R^n). Larry Guth demonstrated in an online talk from 2022 that this was the limit of the method for using wavepackets and Fourier decoupling. In joint work with Tony Carbery, Yixuan Pang, and Po-Lam Yung, we generalize these works to the moment curve, thus proving a version of the Mizohata-Takeuchi conjecture for moment curves with a loss that matches the numerology in Carbery-Illiopoulou-Wang in the case of the parabola.