Stuffed Gluten Free Soft Breadsticks
4 1/4 cups (595 g) Gluten-Free Bread Flour,* plus more for sprinkling
2 teaspoons (6 g) instant yeast
2 tablespoons (24 g) sugar
2 teaspoons (12 g) kosher salt
6 tablespoons (84 g) unsalted butter, at room temperature
1 1/4 cups plus 2 tablespoons (11 fluid ounces, weighed) warm water (about 95°F)
10 hot dogs or cheese sticks, for stuffing