Perfect Pastrmajlija

Name: Perfect Pastrmajlija
Prep time: 20 min
Cook time: 30 min
Total time: 50 min
Cuisine: European, Eastern European
Ingredients: 1½ cups warm water; 2¼ tsp active dry yeast; ½ tsp white sugar; 4 cups all-purpose flour (sifted (and extra for dusting)); 1 Tbsp kosher salt (coarse-grained salt); 2 Tbsp extra-virgin olive oil (and additional oil for greasing); 1 lb. pork tenderloin or salt-cured ham (cut into ½ inch chunks); 5 Tbsp butter (melted); 1 Tbsp extra-virgin olive oil; 2 tsp kosher salt; ½ tsp paprika; 3 eggs (whisked)