Will Botox work on deep forehead wrinkles?

Another challenge in facial care
I live with a distinct wrinkle in the shape of the number three in the middle of my forehead.
Because of my habit of frowning, my wrinkles have become deeper and deeper, and now they are noticeable even when I don't make a facial expression.
I've often heard that these deep wrinkles make me look older, so I'm considering getting botox to try and change that.
However, botox is mainly effective on fine wrinkles, and not on wrinkles that are already deep like mine.

I've heard that the effect of botox is minimal or that I need to get filler at the same time, so I can't decide.

I have a question.

How effective can Botox be for deep forehead wrinkles?
So, can you expect the effects of Botox even if the wrinkles are deep?

Are there any side effects or complications (e.g. sagging eyebrows) from this procedure?

If you have any other treatment know-how or management tips, please let me know.

We look forward to hearing from those who have experienced the benefits of Botox in improving deep wrinkles.
thank you!