01 - 
                Warm the milk to about 38°C (bathwater temperature). Stir in active dry yeast and 1 tsp sugar. Let it foam for 5 minutes.
              
              
              
                02 - 
                In a mixing bowl, combine bread flour and salt. Add the whole egg, softened butter, and the activated yeast mixture. Mix with a dough hook on low speed until combined, then increase speed and knead for 15 minutes until the dough becomes elastic and smooth.
              
              
              
                03 - 
                Shape dough into a tight ball, coat the bowl with butter, place the dough inside, and cover with plastic wrap. Let it rise until doubled in size, about 1 hour at room temperature or refrigerate overnight for enhanced flavor.
              
              
              
                04 - 
                Knock the air out of the dough and turn it onto a floured surface. Divide into six equal portions and shape each into a smooth ball. Place each ball on a square of parchment paper, cover loosely with a towel, and proof for 30 minutes until puffed.
              
              
              
                05 - 
                In a saucepan over medium heat, gently cook honey until it deepens to a dark amber color and emits a nutty aroma. Stir occasionally and avoid burning.
              
              
              
                06 - 
                In a bowl, whisk together egg yolks, granulated sugar, salt, and cornstarch until pale and fluffy.
              
              
              
                07 - 
                Slowly add half of the hot caramelized honey to the egg yolk mixture while whisking constantly to avoid curdling. Pour the mixture back into the pan.
              
              
              
                08 - 
                Add milk gradually to the saucepan, whisking continuously. Bring to a gentle simmer over medium heat and cook until thickened, about 1 minute. Remove from heat, stir in butter and vanilla extract until glossy. Strain through a mesh sieve into a bowl. Cover with plastic wrap pressed onto the surface and chill.
              
              
              
                09 - 
                Whip cold heavy cream to soft peaks and gently fold into the chilled custard mixture for a light, airy filling.
              
              
              
                10 - 
                Heat vegetable oil in a deep pot to 190°C (375°F). Carefully lower the donuts, parchment and all, into the oil. Remove parchment after a few seconds. Fry each side for 2-3 minutes until deep golden brown. Drain on paper towels.
              
              
              
                11 - 
                While still warm, toss the donuts in granulated sugar to coat thoroughly. Transfer to a wire rack to cool slightly before filling.
              
              
              
                12 - 
                Use a piping bag fitted with a large round tip to inject the burnt honey custard filling into each cooled donut generously.