Preheat the oven to 450 degrees F. (You also might need to lower your oven rack a little to accommodate your dutch oven + lid)
Set a large skillet over high heat and add about 2 tablespoons of the olive oil. Toss in the garlic cloves and all the vegetables, EXCEPT the cabbage and sweet potatoes- you might have to do this in two batches, try not to crowd the skillet - season generously with salt and pepper and cook, stirring, until the vegetables are lightly browned on all sides. Remove from heat and set aside.
Using your dutch oven, heat another tablespoon or so of olive oil over medium high heat, and add the bacon pieces. Stir until browned and remove from pot. Season your chicken with salt and pepper and brown the whole chicken in the dutch oven on all sides. Please the cabbage and sweet potatoes around the chicken. Add the bacon to the vegetables and throw everything in, including all the fresh herbs (thyme, parsley, rosemary), around the chicken.
Stir together the chicken broth, wine and 1/2 cup olive oil and pour the mixture over the chicken and vegetables.
To make the dough paste: stir the flour and hot water together, mixing with your fingers until you have a soft, workable dough. Working on a floured surface, shape the dough into a long sausage, then press the dough onto the rim of the dutch oven. Press the lid into the dough to seal the pot.
Slide the pot into the oven and bake for 70 minutes. If you need to keep it in the oven a little longer because you're not ready for it, that's fine, just turn the heat down to 325 degrees F and you'll be fine for another 30 minutes or so.
The easiest way to break the seal, - if needed- is to wiggle the point of a screwdriver between the dough and the pot - being careful not to stand in the line of the escaping (and, in the words of Dorie, "wildly aromatic") steam. If the chicken was whole, quarter it and return it to the pot, so that you can serve directly from the pot, or you can simply arrange the chicken and vegetables on a serving platter to enjoy.