You do not need a new HDMI cable for Ultra HD 4K (probably).
: Electronics
Nanosecond Extreme Slim 2.6' HDMI Cable - World's Thinnest and Most Flexible HDMI Cable. (2.6 Ft / 0.8m) High-Speed Supports Full 1080P, 4K, UltraHD
What do I need for 4K? - CNET
Belkin UltraHD High Speed 8K HDMI Cable (2m) - Apple (CA)
Best HDMI Cables in 2024 - CNET
Best HDMI cable 2024: Get the fastest connection to your TV
Do I need an HDMI cord for my HD TV? - Quora
4K HDMI Cables (are Nonsense) CNET, 47% OFF
Buy Basics 15 Feet High-Speed HDMI Cable (Black
Does 4K need a special HDMI cable? - Quora
HDMI cable buying guide - CNET
Still more reasons why all HDMI cable are the same - CNET