Lamb and Broccoli Stew

INGREDIENTS

• 1/4 sugar
• 3/4 kosher salt plus more
• 2 bone-in lamb shoulder
• 2 vegetable oil
• 4 medium onions, coarsely chopped
• 4 garlic cloves, chopped
• 1 sprig rosemary
• 1 sprig thyme
• 1 bay leaf
• 1 dry white wine
• 8 low-sodium chicken broth
• 2 large eggs
• 2 garlic cloves
• 3 (or more) fresh lemon juice
• 1/2 kosher salt plus more
• 3/4 vegetable oil
• 1 bunch broccoli, stems reserved for another use, cut into small florets
• Flat-leaf parsley and fresh tarragon leaves (for garnish)