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For instance, the Xbox Series X and PlayStation 5 all come with a HDMI 2.1 cable in the box, because that's the route to the best picture you can get (providing your TV supports HDMI 2.1, that is), as the new 2.1 standard is needed to achieve 4K gameplay at 120fps, or 8K gameplay at 60fps. The Xbox Series S ships with an HDMI 2.0 cable instead, though it has an HDMI 2.1 port.
4K HDMI Cable 5M HDMI Lead-Ultra High-Speed 18Gbps HDMI 2.0b
CAT-7 cable, while it may work just fine, is not an IEEE recognized standard nor is it approved by TIA/EIA. It also doesn't use standard RJ-45 (8P8C) connectors. It uses GG45 connectors, unless that's changed. Performance-wise, solid core CAT-6 or 6a, UTP, (non-CCS/CCA and not pre-terminated ethernet) cable is recommended, and is probably cheaper. To use CAT cabling for HDMI you need to terminate with HDBT, which works quite well but currently carries compressed data. The new chipsets (VS3000) are supposed to carry un-compressed data but I don't know if they have been incorporated yet into the units.