dough
1 pound Yukon Gold potatoes, peeled, cut into 2-inch pieces
1 tablespoon coarse kosher salt
1/2 cup (1 stick) unsalted butter
3 large eggs
4 1/2 cups (or more) unbleached all purpose flour
1/2 cup warm water (105°F to 115°F)
3 1/4-ounce envelopes active dry yeast (scant 2 tablespoons)
2 tablespoons sugar
filling
1 1/3 cups (packed) golden brown sugar
2 1/2 tablespoons ground cinnamon
3 tablespoons unbleached all purpose flour
9 tablespoons (1 stick plus 1 tablespoon) unsalted butter, room temperature
glaze
2 cups powdered sugar
1/4 cup (1/2 stick) unsalted butter, melted
2 tablespoons (or more) whole milk
1 teaspoon vanilla extract
1/8 teaspoon coarse kosher salt