While you might get lucky, you're betting on the mainboard power delivery and cooling system to cope with a that additional load. 1 (additional-) port, yes - 2, maybe (probably), 4 has seen other boards (futro) crumble and crash - even more so if you go beyond 1000BASE-T, don't get too greedy (unless you're willing to risk defeat and hardware damage).
Don't get me wrong, it might work out well - but doesn't need to, so be aware of the risks and how far you can go without doing Russian Roulette.
This is great timing! I have been scouring and looking around to build my own x86 machine, and only realised after seeing this post I have a Dell 3060 Micro with an i5-8400t (upgraded myself from a i3-8100t, since I was using it for tinkering with VMs).
Don't mean to hijack the thread but I have a few questions:
Would doing this "mod" be enough for an asymetric gigabit connection (1000 down, 100 up)?
My plan/usage is to connect it to a PoE managed switch and get 2 ubiquiti AP (U6 pro and FlexHD).
In my (synthetic) testing, an ivy-bridge c1037u (which is significantly older/ slower than an i5-8500T) could handle 1 GBit/s wirespeed with sqm/cake easily.