It's not her A's jacket, it's a new one they designed for the movie. Her A's jacket didn't have that golden clasp thingy on the front, and I'm pretty sure it didn't have the massive gauntlet-like cuffs either. RH and Bardiche got makeovers too; note the white fin sticking out of RH's business end and the blue attachment on the bottom of the handle. It's hard to see here, but Bardiche also has a curved blade now instead of an angular one.
