I also bought the 2022 Lexus UXh after being repeatedly assured by the dealership that I could install a hitch. They are now saying that the 2022 does not have that capability (also the 2022 NXh, which they also assured me could accommodate one). I purchased a hitch by EcoHitch that the dealership thought would work. They were unable to install, and I had to return it.
I will continue to follow here. Very frustrating. I also saw the Tempe, AZ, option, which is not an option!