Melt 4 tablespoons of butter in a large heavy-bottomed Dutch oven over medium-high heat.
Add the sliced mushrooms in a single layer if possible; sauté undisturbed for 5 minutes, then stir and continue cooking for 5 more minutes until deep golden brown and moisture has fully evaporated.
Introduce the diced onion and celery to the pot. Sauté for 6 minutes until the vegetables are softened and translucent.
Add the minced garlic, fresh thyme, and red pepper flakes. Cook for 60 seconds until fragrant, taking care not to burn the garlic.
Sprinkle the all-purpose flour over the vegetables. Stir constantly for 2 minutes to toast the flour and create a blond roux, ensuring no dry spots remain.
Gradually pour in 1 cup of chicken broth while whisking vigorously to deglaze the bottom of the pot and prevent lumps. Slowly incorporate the remaining 5 cups of broth.
Increase heat to bring the liquid to a gentle boil, then immediately reduce to a simmer. Allow the base to thicken for 5-7 minutes.
Stir in the shredded rotisserie chicken and the heavy cream. Simmer for an additional 5 minutes to ensure the chicken is heated through and the flavors have melded.
Fold in the chopped spinach and stir until just wilted (about 60 seconds).
Remove from heat. Stir in the fresh lemon juice to brighten the fats, and season with sea salt and black pepper to taste.
Ladle into warmed bowls and garnish with fresh parsley before serving.