In a measuring cup or small bowl, combine warm milk, granulated sugar, and active dry yeast. Let sit for 5–10 minutes until foamy.
In the bowl of a stand mixer, combine bread flour, all purpose flour, and salt.
Add the yeast mixture and cold water. Mix until a shaggy dough forms.
Add softened butter and knead for 6–8 minutes until the dough becomes smooth and elastic. The dough should feel slightly tacky but not sticky.
Cover the dough and let rest for 1 hour until slightly puffy.
Shape dough into an 8x10-inch rectangle. Wrap tightly and refrigerate for 1–2 hours or overnight.