The best way to do it, therefore, is to knead the dough directly in the mixing bowl. Make sure that your hands are clean!
To do that, lift up the top half of the shaggy mass, pull it toward you, then fold it over on itself. Next, use your fingers or the heel of your hand to push the dough away from you. Give the bowl a quarter turn, then repeat the process.
It’s okay if the dough sticks to the bottom of the bowl, but if it sticks too much to the sides, you can use a plastic scraper to free it. Though it’ll still feel tacky at this stage, you’ll notice it becoming less so while you continue to knead, as the gluten develops and the flour becomes more hydrated from the liquid. Add only a very small amount of flour if the whole thing just seems too wet and sticky.