(Yes, I know that this topic and that screenshot up there alone means this won’t pay back for itself in terms of savings before the heat death of the universe happens. I’m just having some fun :P)
Squeezing your image through Trimage (which is more aggressive than ImageOptimizer) made it go from 4.83 KiB down to 4.5 KiB, but I don’t know for sure if Trimage does or does not remove some technically-mandatory metadata so there is a risk no longer is accepted as a valid favicon: