Chop the chocolate into fine, even pieces and place them in a wide, shallow bowl. In a small saucepan, heat the cream gently over medium heat until it just begins to steam but does not boil. Pour the hot cream over the chocolate and let it sit undisturbed for 4-5 minutes.
Using a whisk, slowly mix the chocolate and cream together until smooth and glossy. Whisk in the egg, vanilla bean paste, sumac, and salt, blending until fully combined and silky. Pour this mixture into the pre-baked crust, spreading it evenly.
Bake the tart at 350°F (175°C) for an additional 15 minutes, or until the ganache is just set with a slight wobble in the center. Remove from the oven and allow it to cool completely at room temperature. For a firmer texture, chill in the refrigerator before serving.