I'm using this tyre, and facing the same as i only manage check one side before install, another side done by another staff.

So i use my handphone selfie to snap with flash like ON. Of course not everytime so lucky manage to get the date spot, else push your car a bit, let it rotate.

At the end, i manage to get both tyre manufacture date without jack up or removing it. My different for about 2 months...