Spicy Mushroom Larb

Name: Spicy Mushroom Larb
Ingredients: ¼ cup roasted, skinless peanuts; 4 Tbsp. vegetable oil, divided; 12 oz. shiitake mushrooms, stems removed, quartered; 3 scallions, thinly sliced; 2 garlic cloves, finely grated; 1 1 piece ginger, peeled, finely grated; Kosher salt; 1 medium shallot, thinly sliced into rings, rinsed, drained; 1 red chile, such as Holland, Fresno, or Thai, thinly sliced; 1 cup mint leaves, torn if large; 1 Tbsp. fish sauce or tamari; ¼ head of green cabbage, halved crosswise, leaves separated; Lime wedges (for serving)