Timeless Peach Cobbler

For the Filling:

• 6–8 fresh peaches, peeled and sliced (or 4 cups canned peaches, drained)
• 3/4 cup granulated sugar
• 1/4 cup light brown sugar
• 1 teaspoon cinnamon
• 1/4 teaspoon nutmeg (optional)
• 2 teaspoons lemon juice
• 1 tablespoon cornstarch

For the Topping:

• 1 cup all-purpose flour
• 1 cup granulated sugar
• 1 teaspoon baking powder
• 1/4 teaspoon salt
• 1/2 cup unsalted butter, melted
• 3/4 cup whole milk
• 1 teaspoon vanilla extract