Vanilla Bean Glazed Pretzel Donuts

INGREDIENTS

For the pretzel dough:

1 1/2 cups

warm (110 to 115 degrees F) water

1 tbsp

sugar

2 tsp

salt

package (2 ¼ tsp.) active dry yeast

4 1/2 cups

all-purpose flour

2 oz

unsalted butter, melted

Vegetable oil, for pan or fryer

10 cups

water

2/3 cup

baking soda

large egg yolk beaten with 1 TBSP water

Pretzel salt (or sea salt works fine too)

For the glaze:

2 cups

powdered sugar

vanilla bean (I used Rodelle), split, beans scraped out and pod discarded

1/4 cup

whole milk