Overall, if you intend to use the 13900K as an HEDT-type CPU (all-core all-blast) most of the time, you will need to invest heavily in cooling. Even in closed cases with 360 AIOs, it seems that it will throttle and reach 100°c all the time, very fast. This happens much faster than with the 12900K (in terms of reaching max temps), which are some important asterisks for people to plan ahead for. I would also say, that putting the 13900K in a SFF build will get super tricky unless you cap the power/temps of it. Against the 7950X, as I expectd, basically close match, but because of those asterisks, I'm willing to give the edge to the 7950X if you're building new. As an HEDT-type platform, AM5 just thas better all-around connectivity and future plans, so you will be able to get an even better CPU later on if you want, but if you're willing to throw away the whole thing for the "next best thing", then toss a coin, as you may have money to burn and go with what makes you happy. Gaming wise, Intel takes the edge, again, with some asterisks, but for games you shouldn't be looking at the 13900K or 7950X anyway; not exclusively at least.
The big winner here is the 13600K IMO, as it demonstrates it can be a great "value" CPU for people looking to build a new PC, even with the small price hike. It's an overall decent CPU, with manageable temps and you can still tweak it a bit to extact more performance out of it. Too bad it seems Intel won't be doing Raptor Lake in the lower SKUs from there, so the lower end will have to wait a bit more for something new (if at all). That being said, the differences are noticeable with a 4090 anyway, so I'm sure anyone building with something from either AMD or Intel will have a very decent gaming rig for years to come. You can't go wrong with either and should just build whatever comes cheaper/easier for your needs. That's like the most important thing here to take away as a conclusion, I'd say.
So, the next move needs to come from AMD.
What will it be, AMD? Price reductions? Bundles? VCache rather soon? All of the previous? XD
Regards.