Totally agree with the spyware bit, but ANXCam is just a simple port of the MIUI Camera. I doubt MIUI decided to use the camera app of all things to do so. The developers of ANXCam are in no way tied to Xiaomi.I strongly advice you not to install ANXCam,
because:
1- after all that effort of getting chinese spyware away from your phone, you want to re-flash an essential part of the original miui software package?
2- impactful permissions have to be granted for ANXCam to work (more than any pure camera app really needs)
3- GCam simply works great.
I use GCam 7.3.018 from Urnyx05, v2.5, all lenses enabled in settings).
Always think twice what you want to put on your phone.
Also, I'm not sure where you gathered that ANXCam requires more permissions than any other camera app. It requires use of the camera, files for storage, and the microphone for sound. All of which you can limit in CipherOS to only run while in the app. Those are the exact same permissions GCam uses.