Preheat the oven to 400°F (204°C) & line a baking sheet with parchment paper. Then, crack eggs into a small bowl & whisk them together. Set them aside.
Return the pan to medium heat & warm the butter. Stir in the half and half, water, black pepper, salt, garlic powder, & red pepper flakes. Then, gently whisk in the xanthan gum.