In terms of what matters for compatibility 12th and 13th gen are largely the same, just a better P core. iGPU is identical, chipsets are largely the same etc. 14th gen almost certainly will post a problem, but 13th gen is a nice step up.
Alternatively just pay a lot less for the machine. I'm surprised best buy has the balls to list it for that much without any discounts. With 14th gen rolling out I'd hope prices will tank on those machines, if not new then used they're getting close to the 3 year mark and their value will plummet.