Charred Cabbage and Carrots

Name: Charred Cabbage and Carrots
Ingredients: ⅓ cup fresh lime juice; 2 Tbsp. pure maple syrup; 2 sprigs thyme, leaves picked; 1 tsp. crushed red pepper flakes; 2 Tbsp. plus ⅓ cup extra-virgin olive oil; 2 Tbsp. Diamond Crystal or 3½ tsp. Morton kosher salt, divided, plus more; 1 medium head of green cabbage (about 3 lb.), outer leaves removed, cored, remaining leaves torn into 3 pieces; 2 large carrots, peeled, thinly sliced into rounds; 1 shallot, thinly sliced; 4 garlic cloves, thinly sliced; 6 whole allspice; ¼ cup low-sodium vegetable broth; 4 scallions, dark and pale green parts only, sliced on a diagonal