Donas Rellenas de Mermelada de Fresa (Strawberry Jam–Filled Donuts)

Ingredients

• 1 1/4 cup whole milk, divided
• 1 tablespoon plus 1½ teaspoons active dry yeast
• 4 1/2 cup bread flour (or a mixture of half all-purpose flour, half bread flour), divided
• 1/2 cup granulated sugar, plus more for rolling
• 1/2 vanilla bean, split lengthwise, or 1 teaspoon finely grated lime zest
• 2 large eggs
• 3 large egg yolks
• 1 teaspoon kosher salt
• 1 stick (4 ounces) unsalted butter, room temperature
• Vegetable oil, for frying
• 2 pound strawberries, hulled
• 2 cup granulated sugar
• 1 tablespoon fresh lemon or lime juice
• 1 pinch kosher salt