You need to use a tv wall-mount bracket, which can screw into two studs and adjust to match your tv mount points.
If you can’t get a bracket you could attach a length of strong wood to the wall screwed into two studs, and then mount the tv to that wood in at least two points.
I wouldn’t go any thinner than 0.5” (1.3cm). You want to have enough depth for the mounting screws to get some grip.
If you’re worried about the wood being visible, I think another person suggested painting it to match the wall. You could also just paint it black to match the tv.
That seems similar to what I did: a couple 1x6 x40 (about 3/4”) I had laying around, spanning three studs, attached with 3” lag bolts. I painted them white, similar to the taupe in the room. Then I could attach the TV mount centered, and solid (verified by hanging from it, and I’m a big guy).
It is a bit off-center so my old 55” TV meant I could see it from the side on entering the room. I could have made them smaller/shorter to fix that, however it’s cmpletely invisible with my current 65” TV