Goal-setting is a frequently adopted strategy in behaviour change coaching. When setting a goal, it is important that it is understood and agreed upon by all parties, and not simply accepted as-is. We present here a dialogue game for multi-party goal-setting, in which multiple health coaches can contribute in order to find a goal that is acceptable to both the patient, and the coaches themselves. Our proposed game incorporates three important aspects of goal-setting and health coaching, (1) coaches can query each other's proposed goals, (2) the patient takes ownership of the goal, and (3) the patient themselves can propose goals.