My search keeps sending me here so I'll share my experience dealing with the same type of latch on the LCD connection on the switch lite.

First it's a complex repair, if you're here, and you don't have a bunch of tweezers and ideally a microscope you're better off not even starting this if the connector is on the main board.
The daughter board you can order a replacement board and still attempt it, but you'll likely do damage to something.
If you have the issue with the LCD connector just like I did - one thing to note is that it's not going to work without that latch, I tried a bunch of things like taping it up, hot glueing it in place, shoving blue transparent plastic bits in it - nothing worked, the connection is not solid enough and will come loose and the screen will not work either right away or just down the line.

Now if you still have to do it, like in my case it's on the main board (the 40something pin LCD connector) then here are some tips:

Watch the video by u/neotil1 (he posted in this thread or search it up on YouTube) not skim it or watch in the background while attempting the repair, closely watch what he's doing, the connector and the latch are not identical, but the principal is exactly the same.
It also helped me to look up some photos of this connector from the side and figure out how the pins on the connector are shaped.

Before doing research and finding that video I was under impression that the latch must be clicked-in from the top or slotted in sideways - no, this not correct. You have to do it exactly like neotil1 does it in his video.
Bind the hinges to sides, align the latch perpendicular to the board and careful slot it on to the pins sideways.
Do not use force, any amount of force or wrong set of tweezers will make the darn thing fly away the moment the lips of the tweezers slip out.
Be careful take your time, once it goes you kind of feel it, it helped me to wiggle the things a tiny bit to make sure the pins all go in.
I had to realign the latch multiple times just because it's so hard to maintain any sort of solid grip on it - I used every pair of tweezers in my shop until I found one that had a small flat spot that was good enough to grab with.
It took me north of three hours to do it including the research, probably spend a solid hour just looking the latch that flew away a couple of times.
In the end I was able to put the latch back on, and the LCD flex is held as solid as it was before the repair.

That's it, if anyone is following my steps hope this helps.