coq au vin recipe

8 ounces bacon, cut into 2-inch pieces 3 ½ pounds bone-in, skin-on chicken thighs and drumsticks, about 8 total Kosher salt, plus more for serving 4 cloves garlic, minced 4 shallots, quartered 4 sprigs thyme 1 bay leaf 2 tablespoons tomato paste 3 large carrots, peeled, halved lengthwise, and cut into 3-inch pieces 2 cups chicken stock ½ bottle red wine, we like Rioja, about 325ml 3 tablespoons salted butter, melted 3 tablespoons flour 1 pound cremini mushrooms, quartered