These should basically only be different packaging versions. You can find the two processors at https://ark.intel.com/content... (Ordering and Compliance section). The box version is Intel Core i7-12700K (LGA 1700, 3.60 GHz, 12 -Core) (BX8071512700K) and this one (CM8071504553828) is tray/reboxed. Under lithography, Intel unfortunately only specifies "Intel 7", for both. At our suppliers I find different information about the production technology (10 nm/7nm) and I can possibly imagine that both are correct (depending on the production date). But otherwise, these should simply be different packaging variants (box and tray), as is usual with other AMD and Intel processors. Both variants should be without an included cooling solution.
Yes, the i7-12700K or even without K is perfectly sufficient for this, since with the i9 you primarily only have more efficiency cores, which don't play a role in gaming anyway. Depending on the monitor Hz rate at the resolution (I have the same resolution as you), the GPU will probably be the bottleneck in the end.
This is a desktop processor that is perfectly adequate for current games. K stands for overclockable in most cases. T stands for power-saving in the desktop range. Then you have H and U, which you actually only find in the laptop sector. U stands for energy-saving, which means it tends to be found in thin devices, and H for high-performance devices. If you see HK, then that is a laptop processor that can probably even be overclocked.
See here: https://www.intel.de/content...
Intel Core i5-11400F = Sockel LGA 1200 https://www.intel.de/content...
Intel Core i7-12700K = Sockel LGA 1700
das passt also nur schon mechanisch nicht
mmm. he didn't ask for the F.
Personally, I would never use an F. If the graphics card fails, at least you have the possibility to get a picture via the CPU, in an emergency of course. And it's worth the few francs. And it has the advantage that you can run side processes with the integrated graphics unit, which has nothing else to do, for example rendering and parallel full work without losses on the main processes.
But to the K. The CPU without K are a little trimmed mechanically, is actually the same thing and comes from the same machine, but a little trimmed and throttled down. This means longer runtimes and fewer warranty claims for the manufacturer, which is why you can get them cheaper. (As a rule). But if you are considering such a CPU, you will certainly want the full performance. And it's already very good without much overclocking. It's a small monster and clocks itself up to the point of melting. You don't need to do much screwing, it does it all by itself. just put a proper cooling system on it and off you go.