01 - Dissolve sugar in warm water in a large bowl. Sprinkle yeast over surface and let stand 5 minutes until foamy.
02 - Add melted butter and salt to yeast mixture. Gradually incorporate flour until shaggy dough forms. Knead on lightly floured surface for 5-7 minutes until smooth and elastic.
03 - Place dough in greased bowl. Cover and let rise in warm location for 1 hour until doubled in size.
04 - Preheat oven to 450°F. Line two baking sheets with parchment paper.
05 - Divide dough into 8 equal pieces. Roll each into 18-inch rope. Flatten slightly and place mozzarella stick in center. Pinch edges tightly to seal cheese completely. Form into pretzel shape ensuring no cheese exposed.
06 - Bring 8 cups water and baking soda to boil in large saucepan. Reduce to simmer.
07 - Gently dip each pretzel into baking soda bath for 30 seconds. Remove with slotted spatula and transfer to prepared baking sheets.
08 - Brush each pretzel with beaten egg. Sprinkle generously with coarse salt.
09 - Bake for 12-15 minutes until deep golden brown.
10 - Brush with melted butter while hot for extra flavor. Serve warm.