Depends how generous you're feeling, but it might give the hiring manager ammunition to try to get the process changed.

IMHO That third round should have been rolled into one longer session (no more than 2 hours). Anything any more convoluted than that is just eating the candidate's time because your processes are bad. Then adding more hurdles... nah.

Companies so often miss that you can have a probation period, try someone out in the role, which will give you a much better idea of how it's going to work than selecting for people who will tolerate your byzantine hiring oddyssey