01 - Preheat your oven to 350°F. Line a 9x9-inch baking pan with parchment paper, allowing some overhang on the sides to facilitate removal.
02 - In a heatproof bowl set over a saucepan of simmering water (creating a double boiler), or using a microwave-safe bowl, gently melt the 14 tablespoons unsalted butter and 7 ounces chopped semisweet chocolate together. Stir until the mixture is completely smooth. Remove from heat and allow to cool slightly.
03 - Gradually whisk the 1 1/4 cups granulated sugar into the chocolate mixture. Incorporate the 3 large eggs one at a time, ensuring each egg is fully blended before adding the next. Stir in the 1 teaspoon vanilla extract.
04 - Gently fold the 3/4 cup all-purpose flour and 1/2 teaspoon salt into the chocolate mixture until just combined. Be careful not to overmix, as this can lead to a tough brownie.
05 - Pour the prepared brownie batter into the lined baking pan and spread it evenly. Bake for 30–35 minutes, or until a toothpick inserted into the center comes out with moist crumbs. Allow the brownie to cool completely in the pan before proceeding.
06 - In a mixing bowl, beat the 1/4 cup softened unsalted butter until light and creamy. Gradually add the 1 1/2 cups powdered sugar and 2 tablespoons whole milk, beating until the frosting is smooth and fluffy. Stir in the 1/2 teaspoon pure peppermint extract and a few drops of green food coloring until your desired shade is achieved.
07 - Carefully spread the prepared mint frosting evenly over the completely cooled brownie layer. Transfer the pan to the refrigerator for approximately 20 minutes to allow the frosting to set firmly.
08 - In a small saucepan, gently heat the 1/4 cup heavy cream until it just begins to simmer around the edges. Pour the hot cream over the 3.5 ounces chopped semisweet chocolate and 1 tablespoon unsalted butter in a heatproof bowl. Let the mixture stand undisturbed for 2 minutes, then stir until the ganache is smooth and glossy.
09 - Pour the warm chocolate ganache over the chilled mint layer, spreading it evenly across the surface. Return the brownies to the refrigerator for at least 30 minutes, or until the ganache is fully set.
10 - Using the parchment paper overhang, carefully lift the fully set brownies from the pan. Cut into 16 uniform squares. Serve chilled or at room temperature, according to preference.