Sprinkle the package of unflavored powdered gelatin evenly over 3 tablespoons of cold water in a small bowl. Let sit 5 minutes to bloom, until softened and slightly thickened.
In a large saucepan combine 1 cup whipping cream, ½ cup sugar, and ¼ teaspoon kosher salt. Heat over medium-high, stirring occasionally, until the sugar is dissolved and the mixture is steaming with small bubbles at the edges (do not boil). Remove from heat.
Stir in 1 teaspoon Vanilla Bean Paste.
Whisk the bloomed gelatin into the warm cream mixture until the gelatin is completely dissolved.
Place 10 ounces chopped white chocolate in a microwave-safe bowl. Microwave in 30-second intervals, stirring between each interval, until the chocolate is smooth and fully melted. Let the melted chocolate cool 1–2 minutes until warm but not hot.
Whisk the melted chocolate into the warm cream-gelatin mixture until smooth and uniform.
Whisk in 1-¼ cups plain Greek yogurt until fully combined and smooth. If the mixture feels very hot, let it cool briefly before adding the yogurt to avoid separation.
Carefully pour the mixture into glasses or ramekins. Let cool to room temperature if still warm, then cover and refrigerate for at least 4 hours or overnight, until set.
Garnish with raspberry sauce or fresh berries before serving, if desired.