You asked

Is the sony fe 12 24mm f 2 8 gm worth it?

Here is what the site says about that.

From Sony FE 12-24mm f/2.8 GM: Sony FE 12-24mm f/2.8 GM: A zoom lens by Sony for Full frame cameras, 12-24mm f/2.8. Specs - Maker: Sony - Focal length: 12-24mm (zoom) - Maximum aperture: f/2.8 - Made for: Full frame sensors - Mounts: Sony E - Stabilised: no - Autofocus: yes What it frames like - On full frame (Sony E): as marked, 12-24mm. - On APS-C (Sony E): like 18-36mm on full frame; f/2.8 gives about the depth of field ...

From Sensor sizes: Is full frame worth it?: For low light, events, and portraits with very shallow depth of field, yes. For travel, street, wildlife on a budget, and most hobby photography, a good APS-C camera with good lenses is enough, and you'll carry it more. Lenses and light matter more than the last stop of sensor performance.

Quoted from this site's pages.

From these pages