Sweet Corn Cake - Edible Santa Barbara and Wine Country

Ingredients

• 1 ear sweet corn
• 1½ cups flour (all-purpose or gluten free)
• ½ cup cornmeal
• ¾ teaspoon baking powder
• 3 tablespoons freeze-dried corn (ground)
• ½ teaspoon salt (finely ground)
• ½ teaspoon kosher salt
• 8 tablespoons butter (at room temperature (1 stick))
• ¼ cup coconut oil
• 1 cup sugar
• 3 large eggs (preferably local, free range)
• ½ cup whole milk
• Zest and juice of 1 lime
• ½ cup powdered sugar
• Vanilla ice cream (optional for serving)
• Coarse sea salt and freshly ground black pepper (optional for serving)