User blog comment:IamJakuhoRaikoben/Chapter 328: Zodiac, Review./@comment-4917791-20130420034418/@comment-7418318-20130420075527

Since she joined the Fiore military, it's likely that she also got a room in the castle somewhere. I just hope that this room was on their route and they didn't take a detour just to change.

Could the cloth be magical and help her to focus her magic better? That would at least be a half-hearted reason for them wasting time to get them.