Using a TV as a computer monitor has always been fraught with frustration.... at 4k, that's most often going to be an fps cap. Looking at your laptop specs, it offers two options:
17.3" (16:9) LED backlit FHD (1920x1080) 120Hz Anti-Glare Panel with 72% NTSC with G-Sync
17.3" (3:2) LED backlit FHD (1920x1080) 75Hz Anti-Glare Panel with 72% NTSC with G-Sync
It might have other options but I couldn't find anything listed on the spec page.
if you want to drive 4k, assuming the TV isn't limited in this manner, I'd suggest starting with a lappie that can output 4k. The 1070 however isn't going to do get much higher in many games. here's the desktop model (mobile 1070 is a bit slower):
https://lpc-digital.com/product/sager-np9152-clevo-p750dm2/