It sounds like this will be your fist time running Linux. In that case I would recommend against using CachyOS or Arch. Those distros are meant for experienced users that are willing to solve problems on their. In the words of the Arch wiki:

Whereas many GNU/Linux distributions attempt to be more user-friendly, Arch Linux has always been, and shall always remain user-centric. The distribution is intended to fill the needs of those contributing to it, rather than trying to appeal to as many users as possible. It is targeted at the proficient GNU/Linux user, or anyone with a do-it-yourself attitude who is willing to read the documentation, and solve their own problems.

In general, you can have a good gaming experience on almost any distro. The main limitation is probably running brand-new hardware, which can be a bit difficult on some of the slower distros (Debian, Ubuntu LTS, Mint, ...). There are only very minor performance differences between distros.

If you're a new user that wants to use a fast-moving distro with many options for customization, I'd recommend Fedora (e.g. Fedora KDE).