Yellow Tomato Bloody Mary

Name: Yellow Tomato Bloody Mary
Ingredients: 2 lb. very ripe yellow tomatoes, cored, coarsely chopped; 1 celery stalk, coarsely chopped, plus celery heart stalks with leaves for serving; 6 Tbsp. fresh lemon juice; ¼ cup Castelvetrano olive brine, plus olives for serving; ¼ cup finely grated peeled horseradish; 3 Tbsp. hot sauce (preferably Cholula); 2 tsp. Worcestershire sauce; 2 tsp. sugar; 4 tsp. kosher salt, divided, plus more; 1 lemon wedge; 6 oz. gin; 1 tsp. freshly ground black pepper; 1 tsp. mild red pepper flakes; Sun Gold tomatoes (for serving)