Stir warm water and sugar in a large bowl. Sprinkle in yeast and let stand until foamy, 5–10 minutes.
Mix in flour, sea salt, and garlic powder. Add melted butter and stir until a shaggy dough forms.
Fold in chopped jalapeño and shredded cheddar. Knead on a lightly floured surface until smooth, 6–8 minutes.
Place dough in a greased bowl, cover, and let rise until doubled, about 45–60 minutes.
Heat oven to 450°F. Bring 8 cups water to a boil in a wide pot, then carefully stir in baking soda.
Divide dough into 8 pieces. Roll each into a 20–22 inch rope and twist into classic pretzel shapes.
Boil pretzels in the baking soda bath, 25–30 seconds per side. Lift out and drain well.
Line sheets with parchment. Whisk beaten egg with 1 tbsp water. Brush pretzels, then sprinkle coarse salt, extra cheddar, and jalapeño slices if using.
Bake until deep golden brown, 12–14 minutes.
Brush hot pretzels with melted butter. Cool 5 minutes and serve warm.
Notes
Swap in pepper jack for extra heat, or use pickled jalapeños for a tangy bite. Leftovers keep 2 days in an airtight container; reheat at 350°F for 6–8 minutes or freeze up to 2 months.This recipe is an original creation inspired by classic Jalapeño Cheddar Pretzels flavors. All ingredient ratios and instructions are independently developed.