Heat the ghee in a medium pot over medium heat and sauté the onion, carrots, and celery until they become fragrant and translucent.
Add the cubed chicken breast to the pot and season with sea salt, black pepper, and dried thyme, cooking until the chicken is lightly browned on all sides.
Pour in the chicken broth and bring the mixture to a gentle simmer over medium-low heat.
In a small mixing bowl, whisk together the whole wheat flour and baking powder, then stir in the water until a thick, tacky dough forms.
Drop small, rounded spoonfuls of the dough directly into the simmering broth, ensuring they are spaced apart.
Cover the pot with a tight-fitting lid and let the dumplings steam for 7 minutes without lifting the lid.
Remove from heat, garnish with freshly chopped parsley, and serve the warm stew in a deep bowl.