For the most part, the teacher serves as a facilitator of the thinking and the working processes. It is important to allow as much as possible all team members, especially the team lead, to figure things out as they go along. A lot of the learning will come as the result of making mistakes, and this is a valuable part of the approach. In most instances, the learning is likely to occur incrementally and gradually.
Don't be concerned about the amount of classroom time spent on activities that do not result in students learning subject matter content that is typically emphasized in accredited curricula. Leadership development activities address building the capabilities to set direction, align people, communicate change, establish a sense of urgency, and much, much more. Maybe even more importantly, leaders have to learn to be themselves, and not try to imitate someone else. We need authentic leaders.
Encourage team members to give each other support and help them learn how to build relationships with people outside of the team to get their support when needed. To accomplish this, suggest to teams that they spend time trying to understand others' perspectives, listening with an open mind and without judgment. As ideas are being shared, nudge them to explain their reasoning process and provide evidence where possible.