Any anti depressant can help tremendously with fibro, helping with fog, anxiety, depression, even energy.
Prozac did give me more energy and helped me get up every day but after a while it made me feel like punching somebody in the face, like it irritated me.
Anti depressants have a wide range of affects for many different people though.
Much of modern medicine is 'try it and see'. Just start out low dose and if the effects are bad after a month quit it. If it doesn't seem to do anything increase the dose.

it has taken me five years to get a medicine package that works for me.
I've evaluated many many meds.
I keep a log of dosages, times taken, side effects, interactions, many details.
With fibro fog I would NEVER have been able to properly evaluate them without a log.
Best to you and God bless in all you do and your journey to live with this horrible disease.

I had one of my nurses giving me an extra 30 mcgs of fluoxetine for my fybro, but as soon as a different nurse started seeing me, it was decided that I should never had been giving the other 30mcgs of it. I am no better now then i was then, except I guess the fact I wanted them to half my pain med because I coul'nt drive with them in me....tooooo foggy and tired.🙃

Would you advise taking more than 60mcg of fluoxetine for fybro am already on it for depresion