In a large mixing bowl, combine warm water, brown sugar, and yeast. Let it sit for about 5 minutes until frothy. Add in the flour and salt, and mix until a dough forms.

Knead the Dough

Turn the dough onto a floured surface and knead for about 5-7 minutes until smooth. Place it in a greased bowl, cover it, and let it rise for about 1 hour or until doubled in size.

Shape the Pretzels

Preheat the oven to 425°F (220°C). Punch down the dough and divide it into 8 equal pieces. Roll each piece into a long rope and shape into a pretzel.

Boil and Bake

In a large pot, bring 10 cups of water and baking soda to a boil. Boil each pretzel for 30 seconds, then transfer to a baking sheet lined with parchment paper. Brush with beaten egg and sprinkle with coarse salt.

Bake

Bake in the preheated oven for 12-15 minutes or until golden brown. Remove and let cool slightly.

Homemade Cheese Sauce

Make the Roux

In a saucepan over medium heat, melt the butter. Stir in the flour and cook for about 1 minute until lightly golden.

Add Milk

Gradually whisk in the milk, stirring constantly to avoid lumps. Continue to cook until the mixture thickens, about 3-5 minutes.

Add Cheese and Seasoning

Remove from heat and stir in the shredded cheese, garlic powder, salt, and pepper until smooth. Adjust seasoning to taste.