In a large bowl, whisk together the flour, yeast, sugar, and salt. Make sure the salt doesn't come into direct contact with the yeast, as it can inhibit its activity.
Pour in the warm water and freshly squeezed orange juice, then mix with a wooden spoon until the dough comes together. Once it's manageable, start kneading by hand for about 10 minutes, until smooth and elastic.
Cover the dough with a kitchen towel and let it rise in a warm place for about 1 hour, or until doubled in size.
Finely chop the orange zest, then knead it into the risen dough along with the red pepper flakes. Ensure they are evenly distributed.
Divide the dough into 8 equal portions and shape them into balls. Use your finger to create a hole in the center of each ball, then gently stretch it to form a bagel shape.
Bring a large pot of water to a boil, then reduce the heat. Gently poach the bagels for 30 seconds on each side, then transfer them to a baking sheet lined with parchment paper.
Whisk the egg with the milk, and brush the mixture over the tops of the bagels. This will help them bake to a beautiful golden brown.
Bake in a preheated oven at 400°F (200°C) for 20-25 minutes, or until golden brown.
Let them cool slightly, then serve fresh, sprinkled with a little extra orange zest and red pepper flakes.
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