CANDIED-LEMON POUND CAKE

Steps:

• Make the pound cake: Preheat the oven to 350˚. Butter the bottom and sides of a 9-by-5-inch loaf pan, then line with parchment paper in two overlapping strips, leaving an overhang. Butter the parchment and dust with flour, tapping out the excess.
• Grate the zest of 1 1/2 lemons and remove the remaining zest in wide strips with a vegetable peeler. Juice both lemons into a small bowl; set aside.
• Whisk the eggs, egg yolk, 1/4 cup heavy cream and 2 teaspoons vanilla in a medium bowl until slightly foamy; set aside. Beat the butter and 1 cup cane sugar in a large bowl with a mixer on medium speed until well combined, 1 to 2 minutes. Scrape down the bowl, then beat on medium-high speed until pale and fluffy, 6 to 7 minutes, adding the grated lemon zest after about 5 minutes. Reduce the mixer speed to low and beat in the flour until just combined. Gradually add the egg mixture and beat until combined. Scrape down the bowl; increase the speed to medium and beat until fluffy, 15 to 30 seconds.
• Transfer the batter to the prepared pan and smooth the top. Bake until golden and the top springs back when gently pressed, 1 hour 10 minutes to 1 hour 20 minutes.
• Meanwhile, make the lemon syrup: Bring a small saucepan of water to a boil. Add the lemon zest strips and cook 1 minute; drain. Repeat twice, using fresh water each time; drain and transfer the lemon zest to a cutting board. Wipe out the saucepan.
• Thinly slice the lemon zest strips and return to the saucepan along with the reserved lemon juice, the remaining 1/4 cup cane sugar and 1/4 cup water. Bring to a simmer over medium heat, stirring to dissolve the sugar; cook until slightly reduced, 3 to 5 minutes. Let cool. Strain the syrup through a fine-mesh sieve; reserve the syrup and candied zest.
• Remove the cake from the oven, transfer to a rack and let cool 10 minutes in the pan. Poke 12 holes in the top of the cake, then brush with half the lemon syrup. Let soak 5 minutes, then lift the cake from the pan and remove the parchment. Transfer to a rack. Poke a few holes in the sides of the cake, then brush all over with the remaining lemon syrup. Let cool completely.
• Make the glaze: Combine the confectioners' sugar, 3 tablespoons heavy cream and the remaining 1/4 teaspoon vanilla in a medium bowl and whisk until thick and smooth; thin with the remaining 1 tablespoon heavy cream, if needed. Spoon the glaze over the cooled cake and top with the candied lemon zest. Let set at least 20 minutes.