"The performance of the R7-M360 is slightly above the slower clocked Radeon R7 M260 (64-bit model) and silimar to a GeForce 920M."
Unfortunately that would be the deal breaker for me. The AMD may have a better screen (since it's IPS but again I've not seen it) and yes it's higher resolution.
On the other hand, the model I linked has a better CPU and GPU, but I don't know how close these GPU's are in reality as it's hard to find accurate benchmarks.
CS GO isn't super demanding though, here's a video on 920M (apparently can get highest at 120FPS+ ? but I can't confirm):
https
/www.youtube.com/watch?v=17y4f8aYvLU
(update: comments suggest his 120FPS+ is bogus or more likely it was at 1366x768, but regardless you probably have a better...