Set a small saucepan over medium heat. Add the blueberries, erythritol, and water and stir until the erythritol has dissolved. Bring the mixture to a boil then reduce the heat and simmer until the blueberries have softened, and the color is a rich blue/purple. Approx 5 minutes. You can use granulated or powdered erythritol for this. Just allow more simmer time for the granulated sweetener to dissolve.
Remove from the heat and transfer the mixture to a blender or food processor. Blend until smooth. Strain the blueberry mixture through a sieve, discard the pulp, and return the liquid to the pan to cool completely. Taste and adjust sweetness accordingly. Transfer to a clean jar and store in the fridge.
On a small plate, combine together the erythritol and fine sea salt. Juice 1 lime and set it aside. Use the lime wedge skin to rim the glass. Dip each glass lip in the erythritol salt mixture, ensuring all the edges are coated. Pour the tequila, lime juice, orange extract, ice, and 4 tablespoons of the blueberry syrup into a shaker. Vigorously shake until well combined. Equally divide the mixture into each glass, garnish with a lime wedge to serve and top with soda water (optional).