Gingerbread Tres Leche Cake

Ingredients

• 2 cups all purpose flour
• 1 1/2 teaspoons ground ginger
• 1 teaspoon ground cloves
• 1/2 teaspoon baking soda
• 1/4 teaspoon ground cloves
• 1/4 teaspoon ground nutmeg
• 1/4 teaspoon salt
• 1 3/4 cups light brown sugar
• 1/4 cup unsulphured molasses
• 1 stick unsalted butter
• 1/2 cup brewed coffee
• 1/4 cup water
• 1/2 cup whole milk
• 2 large eggs
• 1 cup sweetened condensed milk
• 3/4 cup evaporated milk
• 1 teaspoon vanilla extract
• 1 teaspoon cinnamon
• 1/2 teaspoon ground ginger
• 1 teaspoon lemon zest
• 1 stick unsalted butter, softened
• 8 ounces cream cheese, softened
• 2 cups confectioners' sugar