Need help making fake depth for a 2D object

I want to create the illusion of 3D depth in a 2D object, I have a circle and I want to give it a material that makes it feel like a 3D hole in the surface (example below)
bcaef6b329ce0997506ebc74666ed7d3c7533e2a
I’ve tried layer weight nodes and they don’t seem to work, cant really think of anything else that could give this effect other than depth offset (I dont know how that could be possible though since I cant do that stuff + im an idiot, I’ve tried searching for tutorials but there are none).

You mean parallax effect like for example this (?) :

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Pretty much, yeah!