How do you unstick a perfume bottle nozzle?

I have a favorite bottle of perfume and it is half-full. It’s a spray perfume. I can push it to spray, but nothing comes out. No perfume seems to be entering the tube to come to the nozzle. I’ve tried to unscrew it (it won’t unscrew——it seems to be attached). I’ve tried to prick the opening with a pin, no luck.

I can take the small nozzle off…and did wash it, but nothing happened.

Any ideas what I might be able to do to fix it? What if I can’t? Any other way to use the perfume?

Thank you!