I see.
So this is something that modifies network packets in order to bypass DPI (Deep Packet Inspection) - allowing access to otherwise restricted sites.
I am unsure how it would interact with other components on your system.
But I might mention that Cachy uses systemd-resolved by default and users in some regions (particularly China and Russia) have reported problems with it enabled and/or without additional configuration steps. It is unclear whether or not zapret or something similar was also at work in those instances or maybe that such a utility would be implied.
See for example;