Answer:
I would use Supporting style of leadership.
Step-by-step explanation:
In this situation, I have a team of experienced engineers who are expert in their work. So i just need to tell them what to do, and the rest is up to them. I will provide them all the support from my side along with the support they need to do their work done without any stress of being laid off of the organization. This support will help them do their work effectively. In this way, engineers will overcome their nervousness and can work at their best. So i will go with the Supportive Style of Leadership.