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And what is actually the difference between gloss and semi-gloss coat?
There
should be a slight difference in the "sheen" or reflection of light between the two.
A simple understanding of it would be to consider examples using black paper (constuction type) and water:
If you put a puddle of water on the paper it would have a high gloss or reflection of light.
With the same paper now being just wet or soaked (no puddles) it would be a semi-gloss.
The same paper dry would be flat or no gloss or sheen.
Keep in mind that manufactures "ideas" or "mixes" can vary greatly. Also the color under the gloss or semi-gloss makes a difference too. Darker colors tend to show more shine than lighter colors.
Perhaps you could make a mix of 50/50 flat or matt and the semi-gloss or satin to lessen the "shine".