Combine the flour and yeast in the mixer bowl. Pour in the water, attach the flat beater, and mix on low speed (#2) until every particle of flour is moistened into a mass of dough. This will take 1 to 2 minutes. Make sure there are no stray bits of flour in the bowl.
Work this very stiff dough between your hands to form a ball. Replace the dough in the bowl.
Cover tightly and let stand at room temperature until doubled in size, about 1 1/2 hours, more or less, depending on the temperature of your kitchen.
Add the egg, oil, molasses, and salt, and beat on low speed (#2) for 2 minutes, until the dough is well mixed and it begins to become stretchy and elastic and alternately sticks to and pulls away from the side of the mixer bowl. Cover and let the dough rest for 5 minutes.
Uncover the dough and beat nonstop on medium high speed (#6) for 5 full minutes. The dough will become very moist and elastic and it will cling to all parts of the flat beater.
Coat a 3-quart bowl lightly with cooking spray and scrape the dough into the bowl. Spritz the top of the dough with cooking spray.
Pick up the dough and work it briefly between your hands to make a smooth ball. Replace the dough in the bowl.
Cover tightly and let the dough rise to almost triple in size. It will almost reach to the top of the bowl. Rising takes about 1 1/2 hours, but it could be more or less depending on kitchen temperature.
Spray top of dough lightly with cooking spray and turn dough sprayed top down onto your counter. Gently pat into a 9 x 12-inch rectangle. Roll up tightly from a short side like making a cinnamon roll and pinch edges to seal. Turn loaf seam side down, crimp ends to make a loaf and place the dough into a loaf pan (8 1/2 x 4 1/2 x 2 3/4 inchs) coated with cooking spray. Tamp all around the loaf so make sure the dough touches all sides of the pan.
Cover the loaf loosely with a shower cap and let the loaf rise until the center of the loaf is 2 to 2 1/2 inches above the rim of the pan. This may take 1 1/2 hours, again depending on the warmth of your kitchen.
Adjust an oven rack to the lower third position and preheat the oven to 350 degrees about 30 minutes before you expect the loaf to be fully risen. Here's the fully-risen, uncovered loaf, ready to bake.
Bake for 45 to 50 minutes until well-browned and an instant-read thermometer inserted into the center of the baked loaf registers 195 to 200˚F. Tip the loaf out of the pan and let it cool completely on a wire rack, 2 to 3 hours, before eating. Wrapped airtight, the loaf stays fresh at room temperature for about 4 days. Better yet, slice the cooled loaf, bag it airtight, and pop it into the freezer. Take out slices as needed and thaw at room temp or in a toaster.