In a large bowl, combine the flour, yeast, sugar, and salt. Make sure the salt doesn't come into direct contact with the yeast, as it can inhibit its effectiveness.
Add the warm water and 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.
Chop the pineapple into small pieces, then gently knead it into the risen dough along with the shredded coconut. Be careful not to add too much wet pineapple, as it will make the dough soggy.
Divide the dough into 8 equal portions and form them into balls. Using your finger, make a hole in the center of each ball and gently stretch it to create a bagel shape.
Bring a large pot of water to a boil, then reduce the heat to a simmer. Boil the bagels individually for 30 seconds on each side, then place them on a baking sheet lined with parchment paper.
Whisk the egg with the milk and brush the tops of the bagels. This helps 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 cool, then serve fresh, drizzled with a little honey and garnished with some extra pineapple pieces.
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