Here's a minor clarification for the Ascension% End Requirements.

First, you can stop time once the turn starts if you are rank 1. Once you are rank one you do NOT need to pass a turn for the run to count.

Second, ties for first place DO count as first place. This is mostly because if you are tied for first it will show up as first in the top left. That means that if you have, say, 25 rank points and the rank 1 power has 25 rank points, you still have completed the objective and rank 1 should appear in the top left area.