polarized lenses are not the problem... i have 3 pair of polarized and each one works fine. some lenses just filter more IR
"It turns out that polarization isn’t the issue — I have a set of polarized sunglasses that work just fine with Face ID. What it is is that different lenses have a different amount of infrared filtration. Most let enough IR through that through most lenses your eyes are visible to IR even if they’re not visible to the human eye" Craig Federighi
I have a pair of polarized Cocoons, old people sunglasses, lol. FID works with them and a ball cap 100%.
And, unless iPhone is sideways, it works in the dark. ie the bedroom---