Bloom the flavors: In a small bowl, stir the dried fruit with the vanilla and 1 tbsp warm water. Let it sit while you make the dough.
This softens the fruit and infuses extra flavor.
Mix dry ingredients: In a large bowl (or the bowl of a stand mixer), whisk bread flour, sugar, yeast, salt, cinnamon, nutmeg, and allspice. Add the orange zest and whisk again.
Add wet ingredients: Pour in the warm milk, add the egg, and drop in the softened butter. Mix with a spoon until shaggy.
If using a stand mixer, fit with the dough hook.
Knead to smooth: Knead by hand on a lightly floured surface for 8–10 minutes, or in the mixer on medium-low for 6–7 minutes, until the dough is smooth, elastic, and slightly tacky.
Add the fruit: Pat the dough into a rectangle and scatter the soaked fruit over it. Fold and knead gently for 1 minute to distribute evenly. Avoid tearing the dough.
First rise: Form a ball and place it in a lightly oiled bowl.
Cover and let it rise in a warm, draft-free spot until doubled, about 60–90 minutes. It’s ready when a floured finger pressed into the dough leaves a slow-springing dent.
Shape the buns: Turn the dough onto a clean surface and divide into 12 equal pieces (about 75–85 g each). Shape each into a tight ball by tucking the edges under and rolling with a cupped hand.
Pan and proof: Arrange the buns in a greased 9x13-inch (23x33 cm) pan or on a parchment-lined baking sheet with a little space between each. Cover loosely and let rise until puffy and nearly touching, 30–45 minutes.
Preheat and prepare the cross: Heat the oven to 375°F (190°C).
Mix the all-purpose flour with water to form a thick paste that slowly falls from a spoon. Spoon into a piping bag or zip-top bag with a tiny corner snipped.
Pipe the crosses: Pipe a line across each row of buns, then the other way to form neat crosses. Keep the lines thin and steady for clean definition.
Bake: Bake for 18–22 minutes until golden brown. Internal temperature should reach about 195–200°F (90–93°C) for fully baked buns.
Glaze while hot: Warm the jam or honey with orange juice until fluid. Brush generously over the hot buns for shine and flavor.
Cool slightly and serve: Let the buns cool for at least 15 minutes.
Enjoy warm with butter.