got confused by the picture. got even more confused after reading the post.
IF i understood correctly, it seems like you want to connect your pc to the router with an ethernet cable but can't run a long cable directly. Scrap the monstrosity you were planning on doing. if you wanted to use a cable for the performance then you ain't getting that with what you were planning on doing. you might as well add a wifi card or an adapter to the pc and connect it directly to the router if the wifi signal is reachable.
A better option would be to use a powerline adapter. Keep in mind though that powerline adapters are a hit or miss depending on how good your power lines are and multiple other factors. You'll never now if they'll work unless you try it yourself. So buy one and if it turns out to be shit, return it. this is the cheapest and the most hassle free option.
Another option would be buy mesh access points. This is also a decent option but you'll probably spend more than if you bought a powerline adapter.
so basically, buy a powerline adapter. If that doesn't work, then you're only option is mesh
Yes, that would be my friend. The dude HATE having anything on his PC. When I say hate I mean HATE, it's so bad to the point where he has a portable version of vlc on his google drive that he downloads every time he wants to watch something and then delete it afterwards. It's portable for fuck's sake just leave it.