How to render in cycles like when you use backface culling in eevee I want this model to render like this:

this is done by using backface culling in eevee rendering.
In cycles, however, it's rendering like this:

I know there's a node set-up in cycles to recreate backface culling, however it did not work and only made the model look glitchy.
Any help would be nice. For reference, here's the model I am using if anyone would want to experiment with it:
https://www.models-resource.com/nintendo_switch/supersmashbrosultimate/model/30311/
Here is a setup I use

WARNING* WITH SOLID MESH YOU MAY HAVE TO TURN OFF SHADOWS

If you don't want to turn off shadows use this setup here: