Prep the lettuce and toppings. Separate and rinse the lettuce leaves, then pat them dry. Slice green onions and chop any garnishes so they’re ready to go.
Make the sauce. In a small bowl, whisk soy sauce, hoisin, rice vinegar, lime juice, sesame oil, and sriracha.
If you like a thicker sauce, stir in the cornstarch slurry. Set aside.
Cook the aromatics. Heat the oil in a large skillet over medium-high. Add onion and bell pepper.
Cook 3–4 minutes until softened. Stir in garlic and ginger; cook 30 seconds until fragrant.
Brown the turkey. Add ground turkey to the skillet. Season with a pinch of salt and pepper.
Cook, breaking it up with a spoon, until no longer pink and lightly browned, about 5–7 minutes.
Add veggies. Stir in mushrooms, carrot, and half the green onions. Cook 2–3 minutes to soften and reduce moisture.
Simmer with sauce. Pour in the sauce. Stir and let it bubble 1–2 minutes until slightly thickened and glossy.
Taste and adjust seasoning with more lime, soy, or sriracha.
Assemble. Spoon the warm filling into lettuce leaves. Top with remaining green onions, cilantro, crushed peanuts, and a squeeze of lime.
Serve immediately. Arrange wraps on a platter or let everyone build their own at the table.