10th Photograph in the Vatican

I'm going back and trying to complete all side missions after beating the campaign.

I need to get into the locked museum around the Nazi encampment and every walkthrough and help video I've seen keeps saying I need the blackshirt outfit.

I already got that in Gizeh when I played the level. I even traveled back to be sure, and yup, I can switch between Indy's outfit, the civilian outfit with the head covering and the blackshirt one.

Yet when I travel back to the Vatican, it's the priest outfit and Indy's clothes.

Is there a way around to get into the museum or what am I missing here?