Just coincidence that they were showing them off in public on the same day?
That’s a man’s jacket. The lapels and collar are huge, it’s a men’s suit jacket. I’ve seen the magnification on another page. It is either a dark charcoal grey or dark navy pinstripe wool men’s suit jacket. Not a blazer.
The dress she is wearing, again from another pic, is a thick white/black knitted fabric with a see through black collar yoke and it has black ribbing. The jacket could belong to any man, but it does not go with that dress.
I do not know any married women that hang out with other men at 3AM or 5AM.