Ubluker 10K 8K 4K HDMI Cable 48Gbps 6.6 FT, Certified Ultra High Speed HDMI® Cable 4K 240Hz 144Hz 120Hz 8K60Hz 0.01ms HDR10+ eARC HDCP2.3 Netflix Roku TV PC Monitor Projector PS5 Xbox

Why use USB-C to HDMI? Don't you have a dock? That has a normal HDMI output option. I use a Retroid dock with my RP5, no lag whatsoever, as long as you get a good quality HDMI cable. I can highly recommend the dock: keeps your device cooler because it's in a stand, and it adds 4 USB ports and a wired internet option to your Retroid Pocket.