True HQ Ultra High Speed HDMI Cable 2.1 Certified 2M Premium 8K HDMI Cable Ultra HD 48Gbps | 8K@60Hz 4K@120Hz 144Hz RTX3080 PS5 Xbox Series X | VRR eARC HDCP 2.2/2.3 Dolby HDR10 4:4:4 LG OLED TV https://amzn.eu/d/0rD6rSM
I use those cables. They may be overkill though if you are running 1080p @60Hz.
I own an LG TV so cannot comment on samsungs gamemode specifically as I only owned a qn95b for a few days. (It sounds to me like a refresh-rate/resolution conflict though, do you still get sound from your pc when it blackscreens?)
Had a little google and people were recommending labeling the input as a pc and enabling 'input +' and ensuring you are using the hdmi 2.1 port on your tv to pc
There is this page from samsung regarding 2022 smart tv's https://www.samsung.com/uk/support/tv-audio-video/2022-how-to-use-game-on-your-samsung-smart-tv/
There is also this reddit page of users having the same problems I've not read it all but maybe it may help https://www.reddit.com/r/techsupport/comments/10dsclm/my_samsung_tv_goes_black_screen_when_i_change_...
I hope you get it sorted, best of luck.