Hello! I'm looking at your screenshots, and the issue appears to be that you are attempting to use the skillet item to cook. In order to proceed with synthesis, you need to use the action "Basic Synthesis", which you'll find in your Actions & Traits menu. The skillet is just equipped in the main hand slot, not used from the hotbar. If you continue to have issues, please feel free to make another post. Thanks for the effort you've put in on this, I hope this helps!