Naked Spring Rolls

Sauce:

• 2 tablespoons fish sauce
• 2 tablespoons seasoned rice vinegar 
• 1 teaspoon agave nectar 
• 1/2 teaspoon lime juice, from half of a lime 
• 1 Thai chile, seeded, sliced into rounds 
• 1/8 teaspoon salt 

Spring Rolls:

• 1 carrot, peeled
• One 2-inch piece fresh ginger, peeled 
• 1 shallot 
• 1 pound ground chicken 
• 4 cloves garlic, minced 
• 3 1/2 ounces shiitake mushrooms, stemmed, caps sliced thin (about 9 mushrooms)
• 1/4 cup fresh cilantro leaves, chopped 
• 2 tablespoons chopped mint leaves
• 2 Thai or serrano chiles, minced 
• 1 egg 
• 1 tablespoon fish sauce 
• 1 teaspoon agave nectar 
• 1/2 teaspoon kosher salt 
• Nonstick cooking spray

Assembly:

• 1 small head green leaf lettuce, leaves separated
• 1/2 cup fresh Thai basil leaves or regular basil leaves 
• 1/2 cup fresh cilantro leaves 
• 1/2 cup fresh mint leaves