Preheat the oven to 400ºF and line two baking sheets with parchment paper or silicone baking mats.
In a small bowl, whisk the milk beverage and yeast together and let stand for 5 minutes.
Using standard mixer with a dough hook, combine the flour, brown sugar, and table salt. Mix in the egg yolk, shortening, and yeast mixture on low speed until dough is smooth and elastic, about 5 to 7 minutes. If preparing the dough by hand, stir the ingredients together and kneed the dough until smooth and elastic, about 5 minutes. Let the dough rest for 5 minutes.
In a large, shallow baking dish, combine the baking soda with 2 cups of warm water.
On a lightly floured work surface, divide the dough into 6 pieces. Using your hands, roll each piece into a thick rope. If the dough springs back too much, let it rest for a few more minutes.
Dip each piece into the baking soda mixture for 30 seconds, then cut each piece into 10 pretzels, and put them on the prepared pans.
In a small bowl, beat the egg white with 1 tablespoon of water.
Brush the pretzels with the egg white mixture, sprinkle with kosher salt, and bake until deep golden, about 12 to 15 minutes.
For the Honey Mustard Dip
Whisk all of the ingredients together in a medium-bowl until well blended.
Serve with the Bavarian Pretzel Bites.
Recipe by Go Dairy Free at https://www.godairyfree.org/recipes/bavarian-pretzel-bites-honey-mustard-dip