BENFEI 8K HDMI 2.1 Fiber Optic Cable 100 Feet - 8K@60Hz, 4K@240Hz, 48Gbps High Speed, in-Wall CL3 Rated, with eARC/Dynamic HDR/HDCP 2.3 - for PS5, Xbox, PC GPU, TV, Projector & Home Theater Systems

A standard HDMI can't make a run that long but a fiber optic HDMI cable can. Looking on Amazon you can get a 100' HDMI 2.1 fiber optic cable for $41. https://www.amazon.com/BENFEI-Fiber-Optic-Cable-Wall/dp/B0GJJQ6Y5V Then you'd need an active USB cable to run a bluetooth dongle or some other way of connecting your controller. https://www.amazon.com/Extension-Selection-chipsets-Booster-Repeater/dp/B0B2V94ST4 The cables are more expensive than your standard HDMI and USB cables, but can still be done for under $100. A lot cheaper than a second dedicated computer.