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