Yeasted Doughnuts

INGREDIENTS

about 15-16 doughnuts, plus doughnut holes

For the dough:

3 cups

all-purpose flour (15-16¼ oz.)

2 1/4 tsp

instant yeast

6 tbsp

sugar (2½ oz.)

1/2 tsp

salt

2/3 cup

whole milk, at room temperature

large eggs, lightly beaten

6 tbsp

unsalted butter, cut into 6 pieces, at room temperature

For frying:

6 cups

vegetable shortening

For the cinnamon-sugar coating:

1/2 cup

sugar

1 1/2 tsp

ground cinnamon

For the vanilla glaze:

1 1/2 cups

confectioners’ sugar

1/4 cup

half-and-half, plus more as needed

1/8 tsp

vanilla extract

For the chocolate glaze:

2 oz

finely chopped bittersweet chocolate

1/4 cup

half-and-half

1 cup

confectioners’ sugar, sifted