Ubuntu, Mint, and Fedora are going to be easiest just by the virtue of being some of the most commonly used with lots of documentation. I think technically Arch might have more documentation but the fact that you're asking tells me you shouldn't use Arch.

Nobara is someone's hobby project, not where I would invest my time, and regarding Bazzite, I'm quoting someone else here, "it may not be perfect for a Linux desktop beginner because when you Google how to do something you probably won't find things specific to Bazzite. So then you Google Fedora Silverblue (what Bazzite is based on) which has way less tutorials and forum questions and answers than plain Fedora or Ubuntu or Arch"

My wife's gaming PC is in Ubuntu, works the most flawlessly of any of the Linux machines in our house. All mine are on Fedora KDE and while they take more tinkering than Ubuntu they all still work great. No trouble gaming on any of them so long as the drivers are installed correctly

I would start with Mint or Ubuntu and once you've learned more about running Linux you can try other distros to find something you like.

It's kind of a meme to recommend Bazzite for Linux gaming builds right now and there are plenty of people happy using it but idk if it would be where I start distro hopping from

One thing that I did while searching for my preferred distro was buy a handful of 250 gb SSDs. When I wanted to try a new distro, rather than reformatting my current OS to start over I would just swap out the boot drive with one of my blank SSDs and install to that while evaluating the distro. That way if I didn't like the new one or something got botched I could just swap in my old but still functional boot drive back in to the computer without having to reinstall and start from scratch again

Do you need a special version of Linux to game? No. You can install the same drivers and most of the same packages on just about any distro. Steam, Proton, whatever you are going to use to game, it will work on any of the common distros