In a large mixing bowl, mix together the warm water and brown sugar. Sprinkle the active dry yeast evenly over the surface of the water and let it rest for about 5 minutes.
Add the all-purpose flour and salt to the yeast mixture. Stir until a dough begins to form. Transfer the dough onto a floured surface and knead for approximately 5 minutes until the dough is smooth and elastic.
Place the kneaded dough into a lightly greased bowl, covering it with a damp cloth. Let it rise in a warm environment for about 1 hour or until it has approximately doubled in size.
While the dough is rising, preheat your oven to 400°F (200°C) and line a baking sheet with parchment paper to prevent sticking.
Once the dough has risen, punch it down to release air. Divide the dough into small balls, sizing each about that of a golf ball. Roll each ball into a long log and twist it into the classic pretzel shape.
In a medium pot, bring 4 cups of water to a gentle boil and stir in the baking soda. Carefully drop each shaped pretzel into the boiling water and allow them to cook for about 30 seconds.
Brush each pretzel with the beaten egg to achieve a beautiful golden hue during baking. Sprinkle coarse sea salt generously over the top.
Place the baking sheet in the preheated oven and bake the pretzels for approximately 12-15 minutes or until they turn a deep golden brown color.
While the pretzels are baking, melt the chocolate chips and red candy melts in separate microwave-safe bowls. Heat in the microwave, stirring every 30 seconds, until smooth and fully melted.
Allow the baked pretzels to cool slightly on a wire rack. Once cool, use a toothpick to secure pretzel sticks into the top of each pretzel for antlers. Apply a small dot of melted chocolate to attach the chocolate chips as eyes and use a dab of red candy melts for Rudolph's iconic nose.
Notes
Serve on a festive platter with warm chocolate sauce for dipping.