I have worked with facilitators in Sweden a number of times, so I feel confident that my remarks can apply to your situation. Here is some of what I learned. The same methods I use in public institutions, business, industry, and the military apply directly.
Simulations are less relevant than working on real concerns and processes.
These two emphases are built into our assessment software, the Team Learning System, published by CRM Learning. I engage the group in analysis right away. Hope this helps. All good wishes. What gets measured gets done.