Measure out all the ingredients first, with the three amounts of flour ([F1], [F2] & [F3]) all in separate bowls. [F1] flour can be in the stand mixer bowl.
Heat the water in a microwave-safe jug for about 30-45 seconds till just a little warm. You are looking for a temperature of 120-130°f, 49-54°c. Alternatively you can mix hot and cold water & test for a tepid temperature with your finger. Next add in the egg whites & olive oil before mixing together.
Have the [F1] flour in the mixing bowl, and add in the yeast before mixing together. Add the salt, then the garlic/onion powder, followed by the sugar, mixing in-between each addition.
Add the tepid liquid mixture once it is ready, mix briefly by hand before using the 'k' paddle/mixer paddle attachement (not the kneading hook yet). Set a timer to mix for 2 minutes, on medium speed. Timings are important in this recipe. Add in [F2] flour (the smaller one), and mix again for 2 minutes.
Add half of [F3] flour & let the stand-mixer incorporate the flour on low-medium speed. Swap over to the dough hook & slowly add in the rest of [F3] flour until you have a dough that is starting to come together, as a very rough ball around the paddle and just a little sticky. You might not need it all or perhaps a little more.
Knead the mixture on medium speed for 4 minutes, before tilting the bowl on its side and scraping the dough down to turn it over, before resuming kneading for a further 4 minutes. (Do not add more flour). Alternatively, knead by hand on a lightly floured surface for 10 minutes till smooth & a little less sticky.