Place the oven rack in the lower-middle position.
Preheat the oven to 325 degrees F.
Cook the bacon in a Dutch oven, over medium-low heat, until the bacon browns.
Transfer the bacon to a large bowl and turn the heat to medium-high.
In small batches, and without crowding the pan, sear the chicken wings and the chicken thighs in the bacon fat, about 2 minutes per side. If more fat is needed, add 2 tablespoons of the canola oil.
Place the seared chicken in the bowl with the bacon.
Reduce the heat to medium and place the carrots in the Dutch oven and cook until softened, about 5 minutes.
Add the diced onion and the celery and cook until the onion is translucent and the celery has softened, about 5 minutes.
Add the minced garlic and cook for 30 seconds until fragrant, about 1-2 minutes.
Increase the heat to medium-high.
Add 1 cup of the wine, 1 cup of the broth, and the Worcestershire sauce.
Scrape the browned bits from the bottom of the pan and bring the mixture to a boil.
Cook, stirring occasionally, until the liquid reduces to 1/4 cup and the vegetables start to sizzle, about 12-15 minutes.
Add the butter and stir to melt.
Sprinkle the vegetables with the flour and stir.
Gradually add the remaining 4 cups of broth, the thyme, and the smoked paprika, then whisk until smooth.
Add the quartered potatoes and bring the mixture to a low boil.
Turn off the heat. Taste the stew and season with salt and pepper, if needed.
Transfer the stew to the oven and cook, uncovered, for 30 minutes, stirring once halfway through cooking.
Transfer the pot to the stovetop and scrape down the sides of the pot into the stew with a wooden spoon. Stir well.
Add the chicken thighs, the wings, and the bacon.
Return the pot to the oven and continue cooking, uncovered, until the chicken and the vegetables are fork-tender, about 45 minutes. Stir occasionally.
Before serving, discard the wings, and add the remaining white wine to taste.
Garnish with the chopped parsley and serve.