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Default replacement skins are replacements of the game skin textures, you can't make them as CAS parts like eye colors so that tutorial won't help.
There are two parts to skintones. The part being used by the mod you linked is the grayscale textures that give detail and shading to the face and body. (The other part is the color image, which can also contain some detail.) Unfortunately there are textures for each age, gender, and body type (base, fat, fit, thin, bony) plus overlays for the chest, so it's a lot of files. For the face it's worse because there's overlays for the face presets including forehead, eyes, nose, cheeks, mouth, and chin. That's a LOT of files.
As far as I know, without replacing all those textures the best you can do is to combine that face texture with the base body - and it looks to me like the skin creator already did that.
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