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In a large bowl, mix the warm water, salt, and sugar until combined. Sprinkle the yeast on top and rest for 5 minutes, or until the yeast starts to foam.
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Add the flour and vegetable oil and mix together using a spatula until a dough starts to form. Use your hands to knead the dough until it is smooth.
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Transfer dough to a greased bowl, cover with plastic wrap, and let rest for 1 hour.
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Preheat the oven to 450 F. Line a baking sheet with parchment paper. Lightly grease the parchment paper with vegetable oil.
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Add the baking soda and 10 cups of water to a large pot or high sided saute pan and bring to a rolling boil.
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Place dough onto a lightly greased working space. Roll the dough to about ½ inch thickness. Cut into Mickey shapes using a large Mickey Mouse cookie cutter. Either reroll the dough to make additional large Mickey shapes or use a smaller cookie cutter or knife to cut out pretzel bites.
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Place the cut out dough on the prepared baking sheet.
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Using a flat spaulta, drop the pretzels, one or two at a time, into the boiling water. Boil each side for 30 seconds. Transfer boiled pretzels back to the baking sheet.
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Using a pastry brush, brush boiled pretzels with the beaten egg. This will make the tops shiny.
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Bake for 10-15 minutes or until the pretzels are golden brown.
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Transfer the pretzels to wire racks to cool.