You asked
Is the nikon z 24 120mm f 4 s worth it?
Yes, I think it's worth it if you want one lens for most of a day out. I'd call the 24-120mm f/4 S probably the best all-round zoom on Nikon full frame. f/4 is a fair trade-off for the size.
It isn't stabilised, so keep your shutter speed up in dim light. It also isn't the lens for shallow depth of field or low light. For that, a fast standard prime is the better buy, as I cover in your first lenses.
It works on full-frame bodies like the Nikon Z6 II and Nikon Z5 II. On an APS-C body such as the Nikon Z50 II, it frames roughly like 36-180mm, which is a very handy travel range. If you're still deciding whether full frame is worth the extra bulk, read is full frame worth it?.
Written by Claude from this site's pages.