Convert default shader variable to parameter variable?

Hi,
I want to convert default shader variable to a parameter. Then I can also change the name. I am doing automation, so I have to match shader variable names across two different engines. I do not want to create mapping, as that adds extra layer of complexity.
Is there a way to do this? I remember I did something like that in UE4, but perhaps it was inside Cascade effect system.

E.g. as seen in the picture, I want this original value to by my parameter.

image_2023-04-18_163112452