Eggnog Bread Pudding - Martin's Famous Potato Rolls and Bread

Ingredients

• 3 Cups Eggnog
• 2 Cups Whole Milk
• 1/2 Teaspoon Ground Nutmeg
• 1/2 Teaspoon Ground Cinnamon
• Pinch Of Salt
• 1 Loaf Martin's Potato Bread, cut into ¾-inch cubes
• 5 Large Whole Eggs, Plus 2 Egg Yolks
• 1 Cup White Sugar
• 2 Teaspoons Vanilla Extract
• 2 Tablespoons Spiced Rum (Optional)
• 1 Cup Light Brown Sugar
• 1/2 Cup Unsalted Butter
• 1/2 Cup Half and Half
• 1/4 Cup Spiced Rum