Step 1: Brown the Sausage. Heat a large pot over medium heat, add sausage, and sauté for 7-10 minutes until browned. Remove sausage, leaving the fat.

Step 2: Sauté the Aromatics. In the same pot, melt butter, add chopped onion and sauté for 3-4 minutes until softened.

Step 3: Add Garlic and Vegetables. Mix in minced garlic and stir for 30 seconds. Add diced carrots and chopped celery, cooking for another 3-4 minutes.

Step 4: Incorporate the Flour. Sprinkle flour over the vegetables, stirring for 1-2 minutes to eliminate any raw taste.

Step 5: Gradually Add the Broth. Slowly pour in chicken broth while stirring to prevent lumps until smooth, then simmer gently.

Step 6: Add the Potatoes and Seasonings. Add diced potatoes, thyme, salt, pepper, and paprika, stirring to combine.

Step 7: Simmer to Perfection. Bring to a boil, reduce heat and cover, letting it simmer for 20-25 minutes until potatoes are fork-tender.

Step 8: Finish with Sausage and Cream. Add cooked sausage and stir in heavy cream and milk, heating for another 5 minutes.

Step 9: Taste and Serve. Adjust seasonings and serve hot, garnished with fresh herbs or cheese if desired.