Initiate this circuit with a thorough warm-up to ensure your body is fully prepared for the demands ahead. Include dynamic stretching for the hips, shoulders, and legs, and activate your core and upper body with movements such as light lunges, push-ups, and pull-ups or ring rows. For the overhead walking lunges, select a weight that allows you to maintain a stable, locked-out position overhead throughout the movement. Keep your core engaged and focus on a full range of motion for each lunge, ensuring your knee gently touches the ground. The burpees should be executed with efficiency in mind, aiming for a consistent pace that allows for minimal rest. Drop to the ground, complete a push-up, then jump up with both feet, ensuring full hip extension at the top of the movement. Bar muscle-ups are a complex movement requiring strength and technique. If you're unable to perform them, substitute with jumping bar muscle-ups or a combination of pull-ups and dips to mimic the muscle engagement without the need for the full skill. Conclude with a cool-down that includes static stretching for the muscles worked, particularly focusing on the shoulders, quads, and hips. This workout is designed to challenge your endurance, strength, and gymnastic skills, emphasizing the importance of pacing and technique to maximize performance over the 20 minutes.