In your stand mixer bowl, combine the warm milk, sugar, yeast, egg, bread flour, and salt. Mix until a shaggy dough forms, then knead on medium speed for about six to eight minutes. Once the dough looks smooth, add the softened butter in small pieces and continue kneading for another four to five minutes until the dough turns silky and elastic.
Transfer the kneaded dough into a lightly greased bowl and cover it loosely. Let it sit at room temperature for one to two hours, or until it has doubled in size. I usually place mine near a warm spot in my kitchen to speed things along a little. This first rise is what gives the buns their light, fluffy texture.
While the dough rises, whisk together the whole milk, eggs, sugar, cornstarch, and vanilla bean paste in a saucepan until smooth. Cook over medium heat, whisking constantly, until the mixture thickens into a soft pastry cream. Pour it into a bowl, press plastic wrap directly onto the surface, and let it cool completely before using.
Simmer the strawberry juice and sugar together for two to three minutes until slightly thickened, then set it aside to cool. Toss your strawberries in the cooled glaze right before assembling the buns. For the streusel, simply mix the flour, sugar, and salt, then stir in the melted butter with a fork until crumbly clusters form.
Gently deflate the risen dough and divide it into eight or nine equal pieces, roughly 85 to 90 grams each. Roll each piece into a smooth, tight ball and place them on a parchment-lined baking sheet. Cover loosely and let them proof for 45 to 60 minutes until they look noticeably puffy.
Preheat your oven to 325°F. Brush each proofed bun lightly with beaten egg. Press the bottom of a greased glass firmly into the center of each ball to create a deep well. Fill each well generously with the cooled custard, top with glazed strawberries, and finish with a sprinkle of streusel.
Bake for 25 to 27 minutes, or until the edges turn a light golden brown and the custard looks set. Let the buns cool on the baking sheet for about ten minutes before moving them to a wire rack. I like to serve mine slightly warm, when the custard is still soft and the streusel is at its crunchiest.