Take out the dough from the refrigerator. Roll out on a lightly floured surface to about 16"x10".
Spread 100g/7 tablespoons of the spiced butter over the dough.
Perform a single letter fold, folding one third of the dough over the center third, then folding the other third over the center. Wrap in plastic and place in the freezer for about 10 minutes or the refrigerator for about 30 minutes to firm up.
Rotate dough 90 degrees so the long side is closest to you. Roll out the dough to 16"x10" again.
Spread the remainder of the spiced butter over the dough. Perform another single letter fold. It will be about 10"x6". Roll out slightly so it is 12"x6".
Rotate dough 90 degrees, so the long side is closest to you, and slice into 1 1/4" wide strips.
Cut each strip into three lengths, leaving about 1 inch uncut at the end so the three strips will stay connected there.
Braid the three lengths of dough. Then roll the dough up into a bun, tucking the ends of the strips into the bun.
Place into a cupcake/muffin tin. Repeat the process again with the other strips of dough.
Lightly cover the tin and let proof in a warm corner of the kitchen for about an hour, until risen and puffy.
Preheat the oven to 400 degrees F.
Brush the proofed buns with egg wash and bake for 18-22 minutes, until buns are golden. Let the buns cool in the tin for 5-10 minutes while you make the cinnamon bun custard.
Whisk all the ingredients for the cinnamon bun custard together in a small bowl.
Dip each bun into the cinnamon bun custard, making sure to absorb as much of the custard as possible. Place each bun back into the tin.
Bake for another 10 minutes at 375 degrees F.
Remove the buns carefully from the tin and let cool on wire rack. They are best served warm. You can refrigerate them and reheat at 350 degrees F for 10 minutes.