Doro Wat

Name: Doro Wat
Ingredients: 2 medium red onions, diced; Salt; 1/4 cup Spiced Butter (or 4 tablespoons (1/2 stick) unsalted butter, divided; 1/4 teaspoon ground cardamom, preferably freshly ground; 1/4 teaspoon freshly ground black pepper; 3 cloves; 2 garlic cloves, finely chopped; One 1 1/2-inch piece ginger, peeled and chopped; 1 tablespoon Berbere or chili powder; 2 1/2 cups chicken stock, divided; One 4-to 5-pound chicken, cut into 10 pieces, wings reserved for another use; 1/4 cup dry red wine; Juice of 1 lime; 2 hard-boiled eggs, peeled