
First, a continuity error. The animators decided to give Lucia her pendant even in the intro, (on SCD she doesn't have it before she appears in the Blue Spire,) but forget about it when she's standing out in the snow a few scenes later.

Next, Lemina, where are your clothes??
Apparently Lemina magically summoned her normal outfit while she was dramatically taking off that cloak, because if she had it on the whole time we wouldn't be able to see that much bare shoulder.
You may also be wondering, Lemina, where is your eye?? I dunno, the animators didn't really care?