Whisk together the flour, baking powder, baking soda, and salt in a medium bowl until evenly combined.

Beat the softened butter and sugar in a large bowl until pale, creamy, and fluffy.

Add the eggs one at a time, mixing well after each addition until the batter becomes smooth and glossy.

Stir in the lime zest, lime juice, vanilla extract, mango puree, and Greek yogurt until fully blended.

Fold the dry ingredients into the wet mixture gently to avoid overmixing the batter.

Carefully fold in the diced mango pieces so they stay evenly distributed throughout the cake.

Pour the batter into the prepared cake pan and smooth the top with a spatula.

Bake until the top turns golden and a toothpick inserted into the center comes out mostly clean with a few moist crumbs.

Let the cake cool in the pan for several minutes before transferring it to a cooling rack.

Whisk the powdered sugar and fresh lime juice together until smooth and pourable.

Drizzle the lime glaze over the cooled cake and finish with extra lime zest for a fresh citrus aroma.

Allow the glaze to set slightly before slicing and serving.