Yes, TX also requires a front plate. But I completely agree with you that the MINI looks cleaner without it. So, in my case, I installed a plate mount
commercially available that screws into the front tow lug (through the right front bumper) and mounted the plate on it, off center to the right, which presents (IMHO) a cleaner look.
But, some cautions -- be sure to get one that has a mounting shank long enough to accommodate the curvature of the front bumper while allowing the plate to mount at the same driving angle (perpendicular to your travel direction) as the regular center mounted plate. I had some difficulty with this for my 2021 model SE, but the front bumper design is different on the 2022 (which may be easier or harder to deal with, I have no info). Also, be sure to tighten all fasteners REALLY well, including using a product like Loctite. And, if you have trouble with the alignment of the plate holder and/or the plate itself (especially in some car washes), add a nice but stiff license plate frame too.
In any case, and again personally, I think the effort is worth it in being able to present a nice looking front end on your MINI while still accommodating state front plate requirements.