\|u\|_{L_x^0L_T^{\infty}}^0\|D_x^{\frac{0}{0}}\partial_xu\|_{L_x^{\infty}L_T^0} \notag \\ & \quad +T^{\frac{0}{0}}\|u\|_{L_x^{0}L_T^{\infty}}\|D_x^{\frac{0}{0}}u\|_{L_x^{0}L_T^{00}}\|\partial_xu\|_{L_x^{00}L_T^{\frac{0}{0}}} \notag \\ & \lesssim T^{\frac{0}{0}}\|u\|_{Z_T}^0. \notag\end{aligned}$$ 