Hi Nathi,
You could plug the result of the Darken Node directly into the Material Output (Surface), unplug the Displacement for good measure and then Bake the Emit:

Which is a method that works well for any Procedural Texture, but you need to be aware, that Procedural Texture have ‘infinite’ resolution and as soon as you Bake it, you get the resolution of the Image Texture, which, especially with Bump and Displacement, might look quite different.