Step 1
Mix flour and water in a saucepan until flour is completely dissolved. Cook over medium-low heat stirring constantly until mixture reaches 149 degrees F (65 degrees C) on an instant-read thermometer about 5 minutes. Remove water roux from heat.
Step 2
Measure 5 3/4 ounces of the water roux into a bowl and let cool to below 130 degrees F (54 degrees C).
Step 3
Combine pineapple juice butter and honey in a saucepan. Heat stirring frequently until butter is mostly melted and mixture reaches 120 to 130 degrees F (49 to 54 degrees C) 3 to 5 minutes.
Step 4
Combine 9 ounces bread flour milk powder yeast and salt in the bowl of a stand mixer fitted with the paddle attachment. Mix well. Pour in water roux and pineapple juice mixture while beating on low speed. Mix in egg and egg yolk. Increase speed to medium and beat for 3 minutes.
Step 5
Switch to the dough hook attachment. Mix dough on low speed while adding remaining bread flour a little at a time until dough pulls away from the sides of the bowl. Add a bit more flour if dough isn't pulling away from the sides of the bowl. Knead for 5 minutes.
Step 6
Remove dough from the mixer and shape into a ball. Place in a lightly greased bowl. Cover and let rise in a warm draft-free area until nearly doubled in size about 1 hour.
Step 7
Gently press any air bubbles out of the dough. Form into a round loaf and place seam-side down in a greased pie pan. Cover and let rest until dough rises to the edges of the pan about 15 minutes.
Step 8
Meanwhile preheat the oven to 350 degrees F (175 degrees C).
Step 9
Uncover dough and bake in the preheated oven until an instant-read thermometer inserted into the center reads 195 to 205 degrees F (90 to 96 degrees C) about 45 minutes. Tent loaf with aluminum foil if crust is browning too quickly. Cool on a wire rack before slicing.