Step 1: The clinical picture is congenital internal hernia with strangulated, gangrenous small bowel, requiring resection and anastomosis. Transmesenteric hernia is the most common type in older children and neonates.
Step 2: The recommended technique is a single-layer seromuscular Lembert suture anastomosis, so option 3 is correct.
Step 3: The Lembert suture is an inverting suture used in abdominal surgery that can be continuous or interrupted and joins two intestinal segments without entering the lumen.
Step 4: Catgut is not preferred for bowel anastomosis, and the choices describing continuous-for-speed or submucosa-taking single layers do not match the recommended seromuscular Lembert technique, so options 1, 2, and 4 are wrong.