Spicy Pumpkin Mash with Baked Eggs

3 Tbsp ghee or coconut oil

700g cold roast pumpkin, peeled and roughly chopped

1 tsp garlic powder

1 tsp onion flakes

1 tsp fine sea salt

1⁄2 tsp cayenne pepper (plus, if desired, 1⁄4 tsp extra for garnish)

1⁄4 tsp ground cinnamon

1⁄4 tsp coarsely ground black pepper

4 eggs

1 Tbsp filtered water

1⁄4 tsp smoked paprika, or to taste