Linux handles a 7800X3D in the ASUS TUF Gaming B650-Plus just fine, and since the motherboard in your bundle is almost the same, I would expect that to work well, too.
Some of the early BIOS versions on AM5 boards caused hardware damage if EXPO was enabled, and Asus was one of the affected brands. Updated BIOS versions with sensible VSoC limits have been available for quite a while now. I suggest updating the BIOS soon after you have your system running, just in case you get old stock. Rest assured that just booting up with default settings won’t fry it, even if it has an old BIOS.
Asus boards are among the few that officially support ECC RAM, which is nice if that’s important to you.
Asus warranty support for their video cards and ROG Ally have been particularly bad lately. I don’t know if their motherboard support has the same problems. (I’ve never had to RMA a motherboard.)
I have a GeForce RTX 3070 which I will keep and I am running Linux Mint 21.2. Any thoughts on compatibility?
AMD GPUs are better supported and better integrated with linux, so you might consider one next time you upgrade, but the GeForce card you already have ought to work fine for gaming and basic desktop stuff (once you install Nvidia’s proprietary drivers).