Vegan Copycat Cinnabon Cinnamon Rolls

1. For the dough, in a small bowl, combine flax and water and let sit and thicken for 5 minutes.
2. In bowl of a stand mixer, combine milk, butter, yeast, sugar, and salt. Mix until combined, then add flour and fold in. Attach dough hook to stand mixer. Knead dough on medium speed for 8 minutes.
3. Grease another bowl with oil, add dough ball, and cover with a towel or plastic wrap. Allow dough to rise for 1 to 2 hours, or until doubled in size. Gently deflate dough. Dust a work surface with flour, then roll dough out into a rectangle about 16 x 10 inches.
4. For the filling, in a small bowl, combine brown sugar, cinnamon, and allspice. Spread softened butter over rolled-out dough, leaving a ½-inch margin around border. Sprinkle on cinnamon sugar mixture and spread evenly. Gently press into dough.
5. Starting at bottom of widest section (16-inch section) roll dough over itself. Go along entire length of fold and tightly tuck in. Once initial roll feels tight and sealed, continue to roll over itself again, keeping as tight as possible. Roll all the way and tuck seam side down.
6. Cut off tips of roll. Using a serrated knife or kitchen twine, cut out sections 2 inches wide. Add each roll to greased 9×13-inch pan, leaving about 1 or 2 inches of space between each roll. Once all rolls have been cut and added to the pan, cover with plastic wrap and let proof for 30 minutes.
7. Preheat oven to 350 degrees and remove plastic wrap. Bake 25 to 30 minutes, or until rolls are slightly golden brown on top.
8. For the icing, in a medium bowl, combine all ingredients and mix with a hand mixer or whisk until smooth.
9. Once rolls are done baking, let rest for 5 minutes, then drizzle on icing. Let cool for 5 minutes and then serve immediately.