Vegetarian Egg Strata

Ingredients

• 1 medium zucchini, finely chopped
• 1 medium sweet red pepper, finely chopped
• 1 cup sliced baby portobello mushrooms
• 1 medium red onion, finely chopped
• 2 teaspoons olive oil
• 3 garlic cloves, minced
• 2 teaspoons minced fresh thyme or 1/2 teaspoon dried thyme
• 1/2 teaspoon salt
• 1/4 teaspoon pepper
• 1 loaf (1 pound) day-old French bread, cubed
• 2 packages (5.3 ounces each) fresh goat cheese, crumbled
• 1-3/4 cups grated Parmesan cheese
• 6 eggs, lightly beaten
• 2 cups fat-free milk
• 1/4 teaspoon ground nutmeg