If it says i9-12900KS, then that's what it is. There isn't a difference, they're the same thing.
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Both are showing the same part # (BX8071512900KS), so both are the same.
Where are you seeing these two? What comparison matrix are you speaking of?
i think both special editions,.
k - unlocked
s - special edition
f - no igpu
https://www.intel.com/content/www/us/en/processors/processor-numbers.html#:~:text=S,Special%20edition
Btw if you're just gaming, go for the 7800x3d or i5-13600k