Point cloud flickering

I’m rendering a point cloud made with POPs. It is flickering a lot in TOPs (so starting from render TOP, I don’t know how to better explain it, see the video attached). I’m using a circle and constant color in PointSpring MAT. I figured that the flickering comes from changes in position of particles in Z axis, in relation to camera. However I want to keep the noise and movement as it is right now.
It looks the same after exporting. Blurring filters help, but are not a good solution to me.
Is there a way to prevent this? I know it has to do with light, mat, or other render components; please any tips very appreciated.
I’m using Mac Studio M1 and 2025.31 build. The original render is Animation encoded to mp4.

link to flickering gif: