Orange Cinnamon Sweet Rolls

Name: Orange Cinnamon Sweet Rolls
Ingredients: 3 tablespoons warm water (105-115°F) plus 2 teaspoons water at room temperature; 1 (1/4-ounce) package active dry yeast (2 1/4 teaspoons); 1/2 cup plus 1 teaspoon sugar; 5 to 5 1/2 cups unbleached all-purpose flour; 1 tablespoon finely grated fresh orange zest; 2 teaspoons salt; 1 teaspoon cinnamon; 1 cup warm milk (105-115°F); 1 1/2 teaspoons vanilla; 3/4 stick (6 tablespoons) unsalted butter, softened, plus additional for greasing bowl; 4 large eggs at room temperature 30 minutes, or submerged in a bowl of warm water (105°F) 5 minutes; Accompaniment: orange butter; an instant-read thermometer (for checking water and milk temperatures); a stand mixer with paddle and dough hook attachments; a clean kitchen towel (not terry cloth); parchment paper