If some is arguing, and they are more powerful, they can "work through" argumentation faster than you. Therefore someone who is more powerful than you can argue faster and more effectively.
If you wish to disagree you must be both demonstrably correct and able to provide the work.
"Here's one I prepared earlier" is most effective as long as the preparation is demonstrably correct.
Take your time, make sure you know how to argue all aspects clearly and fully, and be patient. The powerful, such as they are, tend to be impatient.
The wise let others work, both separately and together, and build on all available agreement.