Chunky Chicken Avgolemono Soup

Name: Chunky Chicken Avgolemono Soup
Ingredients: 2 tbsp. coconut oil; 1 onion, diced; 3 cloves garlic, minced; 1 tsp. Real Salt; 1 tsp. dried thyme; 1 bay leaf; 1/2 tsp. ground black pepper; 1/2 tsp. cayenne pepper; 6 c. chicken stock; 2 c. water; 1 c. brown rice or orzo; 4 chicken breasts, cooked and shredded; 3 tbsp. lemon juice; 3 eggs