Bring chicken broth to a gentle simmer. Add garlic and ginger, letting them infuse for a couple of minutes.
Whisk in xanthan gum a small pinch at a time, whisking continuously. Simmer 1 to 2 minutes until slightly thickened.
Stir in soy sauce, white pepper, and salt to taste.
Stir the broth to create a gentle, consistent swirl.
While swirling, slowly drizzle beaten eggs through the tines of a fork into the broth. Let sit undisturbed for about 30 seconds.
Remove from heat, stir in sesame oil, and top with sliced green onions before serving.