Can I use a Sigma 17-50mm f/2.8 EX DC OS HSM FLD with Nikon Z6? If not, what are some good alternatives?

I have read a lot of reviews and I cannot get an answer on whether the Sigma 17-50mm f/2.8 EX DC OS HSM FLD will work on my Nikon Z6.
If this doesn't work, what other, more affordable options do I have at my disposal?
In short, I am looking for something affordable, that autofocuses (with the FTZ) and works with a Z series Full Frame camera (some tiny edge vignetting is ok).
I recently joined a local photo club so I want to experiment with this. Therefore, I do not need an expensive lens, just something to play around with and expand my toolbag.
If this doesn't work, what other, more affordable options do I have at my disposal?
In short, I am looking for something affordable, that autofocuses (with the FTZ) and works with a Z series Full Frame camera (some tiny edge vignetting is ok).
I recently joined a local photo club so I want to experiment with this. Therefore, I do not need an expensive lens, just something to play around with and expand my toolbag.