In a bowl, mix the warm water, yeast, and 3 tablespoons of sugar. Let it sit for about 5-10 minutes until frothy.
In a large mixing bowl, combine the flour and salt. Make a well in the center and pour in the yeast mixture.
Stir until a dough begins to form. Transfer to a floured surface and knead for about 5-7 minutes until smooth and elastic.
Place the dough in a greased bowl, cover it with a damp cloth, and let it rise in a warm place for about 1 hour or until doubled in size.
Preheat your oven to 425°F (220°C). Line two baking sheets with parchment paper.
In a large pot, bring 8 cups of water and the baking soda to a boil.
Once your dough has risen, punch it down and divide it into 8 equal pieces. Roll each piece into a rope about 24 inches long. Form a U-shape, twist the ends, and press them into the base of the U to form the pretzel shape.
Carefully drop each pretzel into the boiling baking soda water for about 30 seconds, then remove with a slotted spoon and place on the prepared baking sheets.
Brush each pretzel with the beaten egg and sprinkle with coarse sea salt.
Bake in the preheated oven for 12-15 minutes or until golden brown.
While the pretzels are baking, mix the ½ cup granulated sugar with 1 tablespoon ground cinnamon in a small bowl.
Once out of the oven, brush each pretzel with melted butter, then toss them in the cinnamon-sugar mixture until fully coated.
Notes
Serve warm on a rustic wooden platter, garnished with a small bowl of extra cinnamon sugar for dipping.