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Hiding fresnel outlines when behind separate objects.

Hi there, so I have an interesting problem I’m trying to solve. I have a hologram as seen below with fresnel nodes creating the outline on the main globe part. Then I have four cone shaped beams that have a slightly tweaked version of the material applied. the globe rotates while the cones do not. I’d like to find a way to hide the outlines on the main globe when the cones are viewed in front of the globe. Not an intersection that you could get with depth fade. I have drawn on the image attached the green lines are roughly the shape of the cone and the yellow circles are the parts I’d ideally like to be hidden since the cones are in front of the globe at this angle. Thanks so much for the help.