Should I unify the type of dish names and descriptions?
Yes, when the dish and the description are the same family, the dish in one weight and the description in another, so they separate without changing typeface. Do not add a third font for the price.
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See how many families are on the menu now. The miss is the name in one script, the description in another and the price in a third, and it looks like a collage rather than a menu. The menu is left in one family, with dish, description and price separated by weight and size.