How to Make It
Make the dough: Stir together warm water, sugar, egg, and yeast in the bowl of a stand mixer and let sit until it becomes foamy, about 5 minutes. Add the flour.
Using the hook attachment, mix on medium-low speed until the dough begins to come together into a soft, shaggy dough. Turn the speed to medium. Cut the butter into small pieces and add a bit at a time, waiting for each piece to be incorporated before adding the next. Add the salt.
Continue to knead the dough in the mixer until it forms a smooth ball that pulls away from the sides of the bowl and gathers on the hook, about five minutes.
Put the dough in a lightly greased bowl, cover with plastic wrap and leave at room temperature until doubled in size, 1 to 2 hours.
Using your hands, deflate the dough and gently shape it into a round disc. You can make the waffles immediately at this point, or store the dough in the refrigerator for up to 48 hours until you are ready to use it.
Make the soda water: Spread the baking soda over the bottom of a large saute pan and cook over medium heat, stirring occasionally, until the volume is reduced by ⅓.
Turn off heat, put overhead fan on high, and carefully whisk in the water a cup at a time. Keep your face away from the pan as you do this. Transfer soda bath to a bowl and allow to cool to room temperature.
Make the waffles: Heat waffle maker to your manufacturer's directions.
Divide dough into 8 pieces. Flatten each into a small disc about ½” high.
Lightly coat the waffle maker with nonstick spray. Working one at a time, submerge dough pieces in soda water for five seconds, then lightly shake off excess. Place in the center of the waffle iron, brush the top of the dough generously with melted butter, sprinkle with coarse salt, and close lid. Cook until the top and bottom are a deep pretzel brown, between 3 and 5 minutes depending on your iron. Transfer pretzel waffle to a tray, and repeat process with the rest of the dough.
Make the syrup: Stir together all ingredients in a microwave safe bowl and cook for 3 minutes, stopping every 30 seconds to stir. Alternatively, you can do this on the stovetop in a saucepan over medium-low heat. Serve with waffles, along with banana slices, bacon bits and any other toppings you find festive.