Place the duck breast into a large pot with the poultry stock, coconut aminos, salt, honey, cinnamon, ginger, and cloves. Heat until boiling, then lower the temperature, cover, and let it gently simmer for 30 to 45 minutes, or until the duck is thoroughly cooked and tender.
Once the duck is ready, remove it from the pot and let it cool slightly. Shred the meat using two forks and set aside.
In a large Dutch oven over medium-high heat, melt the butter. Add the spiralized zucchini and sauté until just starting to brown slightly.
Pour in the beaten eggs, stirring constantly, and cook for about 2 to 3 minutes until the eggs are set.
Add the shredded duck back to the Dutch oven along with the reserved broth. Raise the heat to bring it to a gentle boil, and let everything warm through for another 2 to 3 minutes.
Taste the soup and add extra salt if desired.
Serve hot. Store any leftovers in an airtight container in the refrigerator for up to 4 days.