Not the answer you are looking for, just here to add that CMY are also primary colors. Is just a different palette, that is more suitable for print (with the addition of black [K]) than for painting . Both palettes (cmy and the taditional red,blue,yellow) work the same way (substractive color), in contrast to the rgb palette that is on your example (additive color).
Note that green is a secondary color in the traditional and cmy palettes , resulting from the mix of blue and yellow or cyan and yellow.
Cmy

Red, blue, yellow

