When you teach someone a new tool or process, modelling it with something fun can make it easier to focus on form over content. 

Doing a “test run” also helps lower the stakes and work out the kinks in the process.

Explain to the team that the first round of whatever game you are playing is only a test. We're playing! 

Afterwards, ask if anything needs clarification or simplification. 

Then, run the game or tool process again, stepping back. Allow the team to run itself now that the rules are more clear.

This expands the idea of an icebreaker from something that simply warms up a room. We don't just play games to have fun. We can also use "game thinking" and serious play to approach problem solving, creativity and problem framing.