While the curd is setting, you can bake the cake. This way everything will be ready around the same time!
Preheat the oven to 350°F and prepare 2 9-in round cake pans by spraying with cooking spray and then covering with parchment paper. This will keep the cake from sticking to the pan.
In a medium bowl, combine the flour, baking salt, lime zest and mint
In the bowl of a stand mixer, combine the butter, sugar, and vegetable oil. Beat until light and fluffy.
Add the eggs one at a time, beating until combined after each addition.
Add the lime juice and greek yogurt, and beat until combined.
With the mixer on low, slowly add in the dry ingredient mixture that you set aside. Beat until a batter is formed. It will be a thick batter.
Separate the mixture evenly into the two cake pans. Using a spatula, smooth the tops of the batter to create an even layer. Bang the bottoms of the cakes on the counter to remove the air bubbles.
Bake for 35-40 minutes, or until a toothpick or cake tester inserted into the middle of the cakes comes out clean. While the cakes are baking, you can make the soak.
When the cakes are ready, remove them from the oven and allow them to cool slightly in the pans.
While they are still warm, turn the cakes out onto cooling racks.
Brush the cakes (tops and sides) with the glaze. Do one layer and allow it to soak in and then do another layer of soak.