$$(z-2022)^{3}=\frac{1+i}{1-i}+\frac{1-i}{1+i}+i^{28}+i^{65}$$
$z=\sqrt[6]{2}e^{\frac{\pi i}{12}}+2022\approx 2023.084215081+0.290514556i$
$z=\sqrt[6]{2}e^{\frac{17\pi i}{12}}+2022\approx 2021.709485444-1.084215081i$
$z=2^{\frac{2}{3}}\left(-\frac{1}{2}+\frac{1}{2}i\right)+2022\approx 2021.206299474+0.793700526i$
