In a medium bowl, combine warm water, yeast, and brown sugar. Let it sit for about 5 minutes until foamy.
In a large mixing bowl, mix together flour and 1 teaspoon salt. Add the melted butter and the yeast mixture. Stir until the dough starts to come together.
Knead the dough on a lightly floured surface for about 5-7 minutes until smooth and elastic.
Place the kneaded dough in a greased bowl, cover with a damp cloth, and let rise in a warm place for about 1 hour or until doubled in size.
Preheat your oven to 450°F (232°C) and line a baking sheet with parchment paper.
Dissolve the baking soda in 8 cups of water in a large pot and bring to a gentle simmer.
Once the dough has risen, punch it down and divide it into 20 equal pieces. Roll each piece into a small rope, about 1 inch thick, and then twist into a pretzel shape.
Boil each pretzel in the baking soda water for about 30 seconds, then remove with a slotted spoon and place on the prepared baking sheet.
In a small bowl, beat the egg. Brush each boiled pretzel with the egg wash, then sprinkle with coarse sea salt, chopped rosemary, and minced garlic.
Bake for 12-15 minutes, or until golden brown and crispy.
Remove from the oven and let cool slightly before serving.
Notes
Serve warm pretzel bites in a rustic basket lined with parchment paper. Pair with a small bowl of garlic herb butter or mustard for dipping!