Cheap Mid-Range Gaming Parts Bundle?

Hi all,

I'm looking to build a mid-range gaming computer, as the eGPU solution (Dell Latitude 7390 2-in-1 w/ Intel Core I7 8650U and Razer Core X Chroma w/ Nvidia RTX 3070) I'm currently using isn't cutting the mustard for gaming. I'm debating whether to base the build on the AMD Ryzen 5 5600, AMD Ryzen 5 7600, Intel Core I5 12400F, or Intel Core I5 13400F, all of which would easily accommodate my daily tasks (modelling and rendering via Blender, transcoding via FFmpeg, software development via Visual Studio Code and WSL2, etc.). Ironically enough, I'll spend the least time gaming, but want to ensure that it's capable of doing so when the opportunity arises. Processor selection aside, the only other requirements are that the memory capacity needs to be 32GB and the motherboard needs to have integrated wi-fi (6/AX).

I was hoping to source a good deal on a bundle of previous generation parts (excluding storage devices and video card, since I have these already), but haven't had much luck. Sourcing the parts from PC Case Gear (who is typically more expensive than elsewhere), the build prices are as follows:

AMD Ryzen 5 5600: $630
AMD Ryzen 5 7600: $905
Intel Core I5 12400F: $681
Intel Core I5 13400F (w/ DDR4): $801
Intel Core I5 13400F (w/ DDR5): $895

I'm leaning towards the Intel Core I5 13400F (w/ DDR4) build, which seems to be the best balance between price and performance. However, if I could further reduce the prices on the AMD Ryzen 5 5600 or Intel Core I5 12400F builds, it changes the landscape a bit.

I reached out to Nebula PC, and whilst helpful, was only willing to quote me on the AMD Ryzen 5 7600 build and was considerably more expensive. I didn't bother contacting BPC Tech, Enigma PC, or Tech Fast, as I figured the outcome would be similar.

Any thoughts on the above? The pre-built deals lately have been quite good, but I think upgrading the video card would be wasteful given my circumstances.