Well when I think about it, there is really a need for only one menu.
On the image below, you can see what I am trying to achieve.
https://ibb.co/Kqww1NK
Basically, it is the logo on the left, menu links in the center of the header and then menu icons (cart, account) on the right.
However I don’t know how I could split the menu so that the menu links would be precisely in the center of the header, while menu icons (cart, account) would stay on the right side of the header.