1. Separate the egg whites from the yolks.
2. Bring the water to a boil.
3. Add the crushed pink garlic and the egg white.
4. Season with salt and pepper, and mix everything together.
5. Let it cook for 3 minutes.
6. Add the vermicelli and let it cook for 3 minutes.
7. Prepare a mayonnaise with the egg yolk, pepper, salt, mustard, and oil.
8. Dilute it with a ladle of warm broth and gently incorporate it into your soup.
9. Serve hot.