Green Chile Stacked Enchiladas

Ingredients (8)

• + 1 tablespoon vegetable oil, or as needed add to pantry
• ✓ 16 (6 inch) corn tortillas, or more to taste
• + 4 boneless skinless chicken thighs, cut into chunks add to pantry
• + ½ onion, diced add to pantry
• + ½ cup diced mild green chiles add to pantry
• + 1 (28 ounce) can green chile enchilada sauce add to pantry
• + 1 (8 ounce) package shredded Monterey Jack cheese add to pantry
• + 4 ounces shredded mozzarella cheese, or more to taste add to pantry