01 - Melt butter in a large pot or Dutch oven over medium heat. Add diced onion, sliced carrots, and celery; sauté for 5 minutes until vegetables begin to soften.
02 - Stir in minced garlic, dried thyme, dried parsley, bay leaf, salt, and black pepper. Cook for 1 minute until fragrant, being careful not to burn the garlic.
03 - Pour in chicken broth and bring to a boil. Reduce heat to maintain a gentle simmer.
04 - Add shredded chicken and frozen peas to the simmering broth. Cook for 10 minutes while preparing dumpling mixture.
05 - In a medium bowl, whisk together flour, baking powder, and salt. Add melted butter and whole milk, stirring until just combined. Gently fold in chopped fresh parsley. Do not overmix.
06 - Drop rounded tablespoons of dough onto the simmering soup, leaving space between each dumpling. Cover pot tightly and simmer gently for 15 minutes without lifting the lid to allow proper steaming.
07 - Remove the lid and check that dumplings are puffed and cooked through. Remove and discard bay leaf. Taste broth and adjust seasoning with additional salt and pepper if needed. Serve hot, garnished with extra fresh parsley.