Creamy Lobster Mashed Potatoes

Ingredients:
2 lobster tails, cooked and chopped
2 pounds russet potatoes, peeled and cubed
1/2 cup heavy cream
1/4 cup whole milk
1/2 cup unsalted butter, divided
2 cloves garlic, minced
1/4 cup grated Parmesan cheese
2 tablespoons fresh chives, chopped
Salt and black pepper to taste
Instructions:
Cook the Potatoes: