Brush a 6-by-3-inch round pan with melted butter.
In a stand mixer bowl, combine the warm water, melted butter, yeast, sugar and salt.
With the dough hook on low, add the flour 1/2 cup at a time, letting each addition mix in before adding more.
Knead on medium speed for 8 minutes, until smooth and slightly tacky.
Shape into a ball, place in the pan seam side down, cover, and let rise until doubled, about 1 hour.
Air fry at 380°F for about 20 minutes, until dark golden and the center reads 190–200°F. Tent with foil if the top browns before 15 minutes.
Cool in the pan 5 minutes, then turn out onto a rack and cool completely before slicing.