Breakfast Burrito with Chorizo and Eggs

Name: Breakfast Burrito with Chorizo and Eggs
Ingredients: 2 tablespoons vegetable oil (divided); 1 onion (diced); 2 cloves garlic (minced); 1 jalapeño (deseeded and finely minced (optional)); Kosher salt; Fresh pepper; 8 ounces 3 links chopped Mexican chorizo sausage, such as Jack's Gourmet; 4 large eggs; 1 teaspoon water; ¼ teaspoon salt; ⅛ teaspoon pepper; Daiya (dairy-free cheese); 1 avocado (sliced); Fresh cilantro; About ¼ cup fresh or jarred salsa (optional); Refried beans (optional); 4 9-11-inch flour tortillas