Prepare Simple Syrup: Combine 1/2 cup water and 1/2 cup granulated sugar in a small saucepan. Heat over medium heat, stirring constantly until the sugar completely dissolves. Remove from heat and let cool to room temperature, then transfer to a small container and chill in the refrigerator for at least 30 minutes.

Prepare Mango Puree: While the simple syrup chills, prepare the mangoes. Peel and dice the ripe mangoes until you have approximately 4 cups. Place the diced mangoes, thoroughly chilled simple syrup, 1/4 cup fresh lime juice, 1 teaspoon lime zest, and a pinch of salt into a high-speed blender or food processor.

Blend until Smooth: Blend the mixture until it is completely smooth and no lumps remain. For an exceptionally smooth sorbet, you can optionally pass the mango-lime puree through a fine-mesh sieve to remove any fibrous bits.

Chill Thoroughly: Transfer the smooth mango-lime puree to a large bowl or an airtight container. Cover the container and chill the puree in the refrigerator for a minimum of 2 hours, or ideally overnight. Ensuring the mixture is very cold is crucial for achieving the best sorbet texture during churning.

Churn the Sorbet: Once the puree is thoroughly chilled, pour it into the frozen bowl of your ice cream maker. Churn according to the manufacturer's instructions, typically for 20-25 minutes, until the sorbet reaches a consistency similar to soft-serve ice cream.

Freeze to Firm: Immediately transfer the freshly churned, soft sorbet into an airtight freezer-safe container. To prevent the formation of ice crystals on the surface, press a piece of parchment paper or plastic wrap directly onto the surface of the sorbet before sealing the container. Freeze for at least 3-4 hours, or until the sorbet is firm enough to scoop.

Serve: Before serving, allow the sorbet to sit at room temperature for 5-10 minutes to soften slightly. This will make it easier to scoop and enhance its creamy texture. Serve cold and enjoy!