Interview Close -- Round 2?

Do I close an interview if it is a second interview with the same person?

I have the first round of interviews for an internal promotion coming up tomorrow, Tuesday 23 JUL. I plan to close both the hiring manager and the HR manager.

If I am successful, the process moves to a second round of interviews that would include more stakeholders. It would also include the hiring manager for a second interview. Do I close this interview with the hiring manager once again? Do I modify it?

The position is for fundraising in a non-profit, Christian institution of higher education. It's essentially sales, so I don't mind coming on strong. I just want to avoid the awkwardness of redundancy.

Thanks for the advice!