Editor Tutorial 2 - Simple Objectives 

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This will work in coop. One of the reasons I set the task to all playable units is this then gives the tasks to them automatically, without having to sync the task up which each playable character. Since the objective will have died on the server, it is synchronised with all the clients for you. This means even JIP players will see the objective completed. For reference, you can replace dave with a car named dave and this will still work.