Mix the warm water, sugar, and yeast in a mixer bowl and let sit for 5 minutes until foamy.
Add the salt, melted butter, and flour. Knead with a dough hook for 5 minutes until smooth.
Rest the dough in an oiled, covered bowl in a warm place for 1 hour until doubled in size.
Divide the dough into 8 pieces. Roll each out, flatten slightly, place cheese down the center, and pinch the seams tightly closed.
Shape the stuffed ropes into a U-shape, cross the ends, and press them down to form a pretzel.
Boil the 10 cups of water and baking soda. Boil each pretzel for 30 seconds, then place on a greased baking sheet.
Brush with the egg wash, sprinkle with coarse salt, and bake at 450°F (230°C) for 12 to 14 minutes until dark golden brown.
