In a small bowl, mix warm milk (100–110°F), sugar, and yeast. Let sit 5–10 minutes until foamy.
In a stand mixer bowl with dough hook attached, combine bread flour, all-purpose flour, and salt.
Add yeast mixture and cold water. Mix until a shaggy dough forms.
Add butter and knead 6–8 minutes until smooth and elastic. Dough should feel slightly tacky.
Cover and let rest 1 hour until slightly puffy.
Shape into an 8x10-inch rectangle, wrap tightly in saran wrap, and refrigerate 1–2 hours (or overnight).