Name of the software
obs-vkcapture, the Linux fork of the Game Capture plugin for OBS Studio.

Project/product Homepage
https://github.com/nowrep/obs-vkcapture

Why we should include this into the repository, i.e. what does it do that the alternatives do not? / Who and how many users do you anticipate will use this software?
It is a much more efficient screen sharing method for capturing intensive games than the usual Window Capture method. I admit I am probably the only one who will ever care about the inclusion of this package. But I've been trying to build it myself for weeks with no avail so this is a last resort for me..other gamers out there may appreciate its inclusion as well who knows.
It comes included on GloriousEggroll's Nobara distro as well. The only way I can currently get it on Solus is with Steam and OBS Flatpak which isn't exactly ideal.

Is it open source?
Yes https://github.com/nowrep/obs-vkcapture/archive/refs/tags/v1.1.3.zip

A stretch request I suppose but I've really been wanting this for a while, it's a very small and simple package/plugin, I was repeatedly getting discouraged trying to build it myself.