Proof the yeast: In a small mixing bowl or measuring cups, combine the warm water (105–110°F), 2 ¼ tsp 活性干酵母 一个标准包, and 1 tsp 1 tsp 细砂糖用于发酵酵母. Stir gently and let sit for 5–10 minutes until foamy and fragrant. If it doesn't foam, your 2 ¼ tsp 活性干酵母 一个标准包 may be expired or the ¼ cup 温水 105–110°F was too hot — start over.

In the bowl of a stand mixer (or a large mixing bowl), whisk together the warm 1 cup 全脂牛奶 加热至 105–110°F, 4 tbsp 无盐黄油 融化并略微冷却，另准备一些用于抹油 melted, 2 tbsp 1 tsp 细砂糖用于发酵酵母, 1 ½ tsp 细盐, and beaten 个鸡蛋 室温，轻轻打散. Pour in the proofed 2 ¼ tsp 活性干酵母 一个标准包 mixture and stir to combine.

Add 3 cups of the 通用面粉 另准备一些用于撒粉 and mix with the dough hook on low speed until a shaggy dough forms, about 2 minutes. Increase to medium speed and knead for 6–8 minutes, adding the remaining 通用面粉 另准备一些用于撒粉 a tablespoon at a time, until the dough is smooth, elastic, and just slightly tacky — it should pull away cleanly from the sides of the mixing bowl but not be stiff or dry.

Shape the dough into a ball and place it in a lightly 4 tbsp 无盐黄油 融化并略微冷却，另准备一些用于抹油-ed large mixing bowl. Turn to coat all sides. Cover with a clean kitchen towel or plastic wrap and let rise in a warm, draft-free spot until doubled in size, about 1 hour.

Grease a 9×13-inch baking dish with 4 tbsp 无盐黄油 融化并略微冷却，另准备一些用于抹油. Punch down the risen dough and turn it out onto a lightly 3 ½ cups 通用面粉 另准备一些用于撒粉-ed surface. Divide the dough into 12 equal pieces (a bench scraper or kitchen scale helps). Roll each piece into a smooth ball by cupping your hand over it and rolling in a circular motion against the counter.

Arrange the dough balls in the prepared baking dish in a 3×4 grid, leaving a little space between each. Cover loosely and let rise again in a warm spot for 30–45 minutes, until the rolls are puffed and touching each other.

Preheat your oven to 375°F while the rolls complete their second rise.

Bake the rolls for 18–22 minutes, until the tops are deep golden brown and the internal temperature reads 190°F. Rotate the pan halfway through baking for even browning.

Remove from the oven and immediately brush the tops generously with the 4 tbsp 无盐黄油 融化并略微冷却，另准备一些用于抹油 melted. Let cool in the pan for 5 minutes, then serve warm.