Soy Saucy Chicken and Eggs

Name: Soy Saucy Chicken and Eggs
Ingredients: 6 eggs; 4 cloves garlic, smashed; 2 slices ginger; 2 lbs chicken thighs (on the bone. I take off the skin from at least half of the thighs. The skin adds flavor but too much fat. Adjust skin amount to suit your taste).; ½ cup wine (we use rice wine but sherry, sake, or even a sweet white wine will work); 1 cup diced tomatoes (or 3 fresh tomatoes or 3 Tbsp tomato paste); ½ cup soy sauce (we use Kikkoman light); 1 Tbsp brown sugar; 3 shiitake mushrooms, sliced (dried or fresh); dried red chili peppers (optional); water