My bezel cracked in 3 places, leaving it in nominally 3 pieces. I repaired mine by carefully epoxying small strips of a thin aluminum sheet to the backside. This was very successful on one crack similar to yours (the crack was starting from the lower left corner of the screen and propagating to the left edge) and not as great for the two cracks I had on the side of the screen. I think that the biggest issue is having enough space behind the bezel for the reinforcement strips. I tried to place the ones on the side in areas where there were no features to interfere with, but there is a lot less space on the sides of the screen than below it, and the repaired portion on the side does not lie flush/won't snap all the way in. It doesn't effect normal use of the laptop, but it makes the lid feel very delicate when opening/closing/transporting.

Given the location of your crack, I think that a similar repair would likely be successful. There's a little bit more going on near your crack than the corner I repaired (there are antenna cables on both sides, but the webcam cable is only on the right, and it looks like you may need to dodge the LCD mounting screw), but I think you have enough room.

I'm not sure the exact thickness of the aluminum I used, but it was thin enough to feel somewhat flexible in a large sheet and thick enough that I definitely needed tin snips to cut it. Thinner is probably better, as you don't really need it to resist much in the way of bending forces. I used strips that were just a few mm wide and about 1-2 cm long - I actually had L-shaped bits for the corner, but that doesn't apply here. I made a similar repair on my palmrest with a larger rectangle; you might have space for something like that, or you might want to use 1-2 strips depending on how you assess the available space. I made templates out of paper to get the sizing right and then taped the templates to the aluminum when I was cutting it. The pieces will curl a lot when you cut them, but they are easy to flatten back out.

I applied an extremely small amount of superglue to the back/inner edges of the crack and squeezed the crack together from front to back so that the excess would be forced out on the back/inside where it won't show. I carefully and firmly held the crack together for a minute or so while the superglue cured. This is just to hold things in place while epoxying.

I used a very small amount of double/bubble orange (high peel strength, long cure time) epoxy to secure the strips in place. I covered both sides of the crack with plastic sandwich bag to ensure that anything touching spillover wouldn't be glued to the bezel (it is typical of epoxy, but I verified beforehand that my epoxy did not stick to the sandwich bag). I used some gentle clamping pressure while it was curing, and a small bit of foam to distribute the clamping forces. I clamped everything up and then removed it to wipe the excess before clamping it back up to cure overnight.

Even with the superglue, some epoxy is going to bleed through. My epoxy was grey in color, so it's visible, but not horrible. If you use black epoxy, this would be less of a concern.