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3/4th sleeve jackets - no
dressy sneakers - no
oxfords - probably not, although there are some pretty oxford style low heels out there at the moment
call me a weird stickler, but in my head, your professional school interview is not the time to make an outlandish fashion statement, maybe use one understated piece of jewelry or a fun but still classy colored/materialed top, or shooz with a pretty detail to make them, but not all 3, and not over the top.
I'm a fan of the tailored/fitted dark gray jacket, rose pink silk blouse, narrow-ish trouser pant, single strand pearl necklace, mid-heel pump look. If its freezing, wear those skin colored half tight things under your pants, they'll cover your feet and keep you sort of warm, and wear a top with some sort of sleeve. I kept my hair down but pinned out of my face with hair-colored pins(no sparkly multicolored rhinestone clips)
thank you fairy godmother