3 powder sugar icing for danish Recipes

cold butter, flour, active dry yeast (not rapid rise), milk, heated to about 110 f, eggs, at room temperature, salt, sugar, all-purpose flour, butter (divided in half ), brown sugar (divided in half ), cinnamon (divided in half ), flour (divided in half ), pecans (finely chopped, divided in half ), egg, beaten, water, powdered sugar (add more if icing is too thin), milk (add more if icing is too thick), vanilla

all-purpose flour (125 g), all-purpose flour, for rolling out, baking powder, butter (125 g), sweetened coconut (65 g), sugar (65 g), icing sugar (100 g), milk (i have read that egg white instead of water gives a nicer glace, but have not tried this myself), sweetened coconut (optional)