Generate an intersection mask in UV space using Copernicus

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Hi,
I have an object with proper UVs, and there are other objects intersecting with it in 3D space. I would like to create an intersection mask in UV space using only Copernicus within the COP context (no geometric operations, i.e. booleans and etc, as it's needs to be procedural and work with a lot geometry).

For example, if a cube is pierced by a cylinder, I need a mask where the intersecting area (inside the cylinder) appears white, and the rest of the mask remains black.

Is this achievable in Copenicus? If so, what would be the best approach?
It's similar effect as https://docs.chaos.com/display/VMAX/VRayDistanceTex [docs.chaos.com] So i will use this mask later in coprnicus to generate complex textures for KarmaXPU

Thanks in advance!
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Hello.
There is any way do to this?
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