I don't remember whether it was this or "sunshine", but game streaming from your own PC hasn't been the same since it was simply "turn on the Nvidia feature". It was way too difficult to figure out how to make it work the last time I tried and I gave up and haven't tried again since. For all the good they do otherwise, FOSS devs just never seem to get usability right.
Perhaps the first thing I would recommend is Steam's built-in Remote Play feature along with their apps. This is the most dummy-proof method, though you can get better/more customizable results with Sunshine/Moonlight and of course you aren't tied down to Steam if you are using Sunshine/Moonlight. (Not that being tied down to Steam is particularly limiting since Steam can launch non-Steam applications and games)
There are a lot of YouTube guides out there if you prefer that way, or another way to go is to have an AI help you.
For example, I had some trouble recently getting my streaming setup to work and I just kept asking AI what to investigate, and it turned out my Linux distro software firewall was defaulted to blocking the streaming ports on my desktop system.
I recommend trying local network only to get started and only worry about Internet streaming later as that process is a little more involved. Though, maybe it's not if you already have your own home VPN like Wireguard or Tailscale.
It'll really work best if your desktop is wired. Clients being on WiFi is usually okay, especially if you have 6Ghz support...of course, wired everywhere is most ideal.
Admittedly, none of this is anywhere near as convenient as the black magic that PS Remote Play does. That is a downright incredible user experience. But still, I encourage you to give it another go!