Eggs in Thai Pistachio Curry Sauce

Name: Eggs in Thai Pistachio Curry Sauce
Ingredients: 3 garlic cloves, peeled; 10 gram ginger, peeled (peeled weight); ½ lemongrass stalk; 1 green onion, roughly chopped; 1 handful coriander; 4 birds eye chilis; 2 tablespoon coconut oil; 2 tablespoon pistachio butter; 150 gram shiitake mushrooms, finely sliced; full fat milk, to taste (more for a looser curry, less for a thicker one); 4 egg; 1 tablespoon fish sauce; 1 lime, juiced; 1 handful coriander, chopped; pepper, to taste; 2 beetroot, peeled