In this given situation, it might be appropriate to use the laissez-faire style of leadership.
Leadership may be defined as a quality of an individual or a group of individuals to impact and instruct proponents or other constituents of an association.
Laissez-faire is a style of leadership in which the leader has an immense attitude of confidence, trust, and reliance on their employees. So, if the new project is very similar to the one that they completed, hence, the laissez-faire style of leadership is implicated in the completion of a new project as well.
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