... and adding to that more general answer just above, no, those specific components are far too new to have them working (well) out of the box on current Mint 21.1.
I.e., note that Mint is a not a so-called "rolling" distribution but bases of the stable (in that case) Ubuntu 22.04 LTS, i.e., a system released now 9 months ago (and you can see how that will be more for e.g. Mint 21.3) and where Ubuntu 22.04 LTS is
itself not a rolling distribution and bases off of an at some point "frozen" Debian base.
I expect that your 7950X is too new for the default kernel series and will guarantee that the 7900XT graphics card will be. That said, AMD graphics are a good choice on Linux since
getting them to work involves no other than installing a newer kernel series (*). Mint will also at some future stage release a so-called "edge" edition of Mint 21.x for this purpose but as far as I'm aware it doesn't exist yet.
That's particularly nice hardware though if you're not too scared of installing a new kernel series manually, and it appears that Ubuntu/Mint has kernel series 6.0 available simply from
sudo apt-get install linux-oem-22.04b (see
https://packages.ubuntu.com/jammy/linux-oem-22.04b). You may need to (or may not need to) boot the installer in a sort of fall-back mode wrt those graphics, but while I agree with previous poster that it's rather overkill for a Linux system and that you'd be saving yourself some issues if you go with something a little less hyper -- that's still damn nice hardware....
(*) while rereading... let me add a caveat to that, since the 7xxx AMD graphics are só new at the time of writing that you may in fact need to also upgrade Mesa and X11 drivers and then it gets to be more involved fairly quickly. So well, yeah, maybe only do this if you're willing to potentially screw around a bit -- but still damn nice hardware
