01 - Dissolve sugar in warm water in a large bowl. Sprinkle yeast over the surface and let stand for 5 minutes until foamy and activated.
02 - Stir melted butter and salt into yeast mixture. Gradually incorporate flour, mixing until shaggy dough forms. Knead on lightly floured surface for 5–7 minutes until smooth and elastic, or use stand mixer with dough hook.
03 - Place dough in greased bowl, cover, and let rise in warm location for approximately 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 portions. Roll each into 18-inch rope, flatten slightly, and place mozzarella stick in center. Pinch edges tightly to seal cheese completely. Shape into classic pretzel form, ensuring no cheese exposure.
06 - Bring water and baking soda to boil in large saucepan, then 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 and sprinkle generously with coarse salt.
09 - Bake for 12–15 minutes until deep golden brown color develops.
10 - Brush hot pretzels with melted butter for enhanced flavor and shine. Serve immediately while warm.