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My favorite variety of lebkuchen is the one coated in a thin layer of dark chocolate with just a touch of dark fruit jelly hidden inside.
My favorite beer pairing for lebkuchen, especially the ones with the little spot of jelly, is a nice strong dark Belgian beer like Delirium Noel.
The dark fruit flavors (fig/raisin) will resonate with jelly filling while the sweet malt flavors will resonate with the cookie. Last, but certainly not least, the yeast spices resonate perfectly with the ginger spicing in then cookie.