I'm finding it impossible to find reliable information on VESA adaptive sync specifications. I saw one 5+ year old claim that it was limited to 9-240Hz, but that's about it. The number 255 is the maximum value you can encode in an 8-bit integer, which suggests it may be the case that VESA adaptive sync is limited to 255Hz.
So you may not be able to use FreeSync at the full refresh rate of that monitor. I will say that 360Hz is entirely overkill. There is zero chance you will notice a difference between 240Hz and 360Hz, and a negligible chance that would even see a difference between 144Hz and 240Hz.
Yeah I have noticed the information out there is limited. It's kind of a pain in the butt.
Honestly most people ive talked to said the same thing on seeing or feeling a difference with the monitor. But you a can. At first it seems slight. But when I switched back to a 280hz monitor and 144hz you can tell.