Hello Paulius,
Your notebook is capable of outputiing 3840×2160 at 60Hz over the Mini DP 1.2 output.
The adapte is abel to convert taht into HDMI 2.0 signal. Your Monitor has 2 HDMI inputs out of which 1 is HDMI 2.0 or 4K 60Hz capable. This should work !
In general …
Setups with TV’s normally work best by making a custom resolution, in this case for: 3840*2160 at 60 Hz with Timing Standard set to CVT-RB (Reduced Blanking).
(For setups with Monitors Timing Standard can remain on “auto”.)
On most TV’s you will need to do some settings like “Enhanced Mode”/ “PC-Mode” and/or “UHD Color” for the HDMI 2.0 port in use.
Please make sure the HDMI port of the Screen/TV supports 4K 60 Hz, often not all HDMI inputs support that.
Please make sure the HDMI Cable is capable of 4K 60 Hz or 18Gbps.
Please make sure the Software of the Screen/ TV is updated
Just to stisfy my own curiosity, why dont you just use a CAC-1163 Mini-DP to DP cable to connect your screen ?