Place the saucepan over medium heat and stir the mixture frequently. In about a minute, the flour will start to thicken. Don’t walk away during this process as you can quickly burn the tangzhong! Once the flour develops into a light paste, turn off the heat.

Transfer the tangzhong to a bowl to cool. It will thicken as it cools.

Grease a large mixing bowl with oil. Set it aside. 

In a microwave-safe bowl, heat the milk for about 40 to 45 seconds. Add the sugar to the milk. Use a thermometer to check the temperature of the milk. It should be around 110ºF to 120ºF. It’s okay if you are just several degrees off. 

Add the yeast and stir to hydrate the yeast. Let it sit for 5 to 8 minutes while you prepare the other ingredients. After 5 to 8 minutes, the milk/yeast mixture will foam up.

In the bowl of a stand mixer, combine the bread flour, salt, condensed milk, egg, melted butter, tangzhong and the foamy milk/yeast mixture. 

After 10 minutes, scrape the dough out of the bowl onto a surface and knead it several times. The dough shouldn’t be sticky, so you do not need to flour the surface.

Shape the dough into a ball and place inside the greased mixing bowl. Cover the bowl with plastic or silicone mat. Let the dough rise in a warm area for about 1 hour to 1 hour 30 minutes, until the dough doubles in size. 

Add the butter to the bowl of a stand mixer. Fit the mixer with the flat beater attachment. Cream the butter on medium-low until it is light and fluffy, about 1 to 2 minutes. Add the superfine sugar in two batches. The mixture will look very crumbly at this point, and that’s okay.

Next, add the egg yolk, milk, and vanilla, and mix on low until just combined. 

In a small bowl, mix the flour, baking powder, and turmeric. Add half of the flour to the bowl with the wet ingredients, and mix on low until the flour is combined. Then, add the remaining flour and mix again. Once all the loose flour has been incorporated, increase the speed to medium-low, and keep mixing until the dough starts to come together into large chunks. 

Scrape the dough out of the bowl onto a surface. Gather it up into one large ball of dough. Transfer this to another bowl and cover it with a towel or silicone mat until the buns are done proofing.

Line 2 large baking sheets with parchment paper.

Once doubled, punch down the dough to release excess air. Turn the dough onto a work surface. Divide the dough into 2 equal portions (450 to 456 grams each). Place 1 portion of dough back into the bowl, cover it, and refrigerate while you shape the first batch of buns.

Next, divide the remaining dough into 6 equal pieces (74 to 76 grams each). Take one of the pieces of dough and knead it several times to get rid of any air bubbles. Then, shape this dough into a ball and transfer it to the lined baking sheet, seam side down. The dough should be about 2 inches in diameter. Repeat with the remaining 5 pieces of dough.

Cover the balls of dough with a towel and let them rise in a warm place for 30 to 45 minutes, until they increase to 1.5 times its size (about 3 inches in diameter). 

Preheat the oven to 375ºF. If you want more golden looking pineapple buns, preheat the oven to 385ºF. Position an oven rack to the center position.

While the buns are proofing, divide the dough for the topping into 12 pieces (about 27 to 29 grams each). Roll each piece into a ball.

Take a plastic storage bag, and cut off the zipper. Continue cutting the bag along the edges so that you have 2 large sheets of plastic. You’ll be rolling the topping in between these plastic sheets.

In a small bowl, prepare the egg wash by whisking an egg yolk with 1 tablespoon of milk.

After the buns are done proofing, start rolling out the topping. 

Take a ball of the topping dough and place it on the center of a plastic sheet. Lightly flatten the dough out with the palm of your hand. Then, cover the flattened disc with the other sheet of plastic. Roll out the dough until you get a circle that is 3.5 to 3.75 inches wide. 

Peel off the top sheet of plastic, turn the topping onto your hand and carefully peel off the other sheet of plastic. 

Drape the topping over one of the buns. The topping shouldn’t cover the bun completely. The topping can burn if it touches the bottom of the baking sheet. Continue rolling out the topping and draping it over the buns.

Brush the tops of the buns with egg wash. 

Bake the buns for 14 to 16 minutes, until the tops are lightly golden. 

Once the first batch of buns is in the oven, prepare the second batch of buns and bake. 

Let the buns cool on the baking sheet for several minutes before transferring them to a cooling rack.

Enjoy the buns while they’re still warm! That’s when they are the tastiest.