Found this little guy on the floor mat today

Maybe try a strip of tape that has a matte finish as a trial on the underside of the bezel to absorb some of the reflections. Like the do for dash tops.
Just a thought.
Tried the matte tape and it only makes a slight reduction, tried a piece of black vinyl material and that was better but not enough, I notice the back side of the vinyl has a felt look to it so I tried that and it took quite a bit of glare out, so maybe some black felt might be the answer.