Brioche Doughnuts with rich vanilla cream | Jernej Kitchen

Ingredients

• 50 g sugar (1/4 cup)
• 190 ml water, lukewarm (3/4 cup)
• 1 tsp active dry yeast or 16g (2 tsp) fresh yeast
• 3 eggs, free range
• 500 g all-purpose flour, plus for dusting (4 cups + 2 tbsp)
• 1 tbsp rum (optional)
• 1 tsp lemon zest
• 1 tsp salt
• 100 g butter, softened at room temperature (1 stick)
• 2 liters vegetable oil (1/2 gal)
• 80 g vanilla sugar (or vanilla seeds mixed with sugar) (1/2 cup)
• 40 g corn starch (1/3 cup)
• 4 eggs
• 500 ml milk (2 cups)
• 50 g butter (1/2 stick)