Is your cat being used by the Kingdom of Darkness as a Trojan Horse for evil spirits? I have seen evidence of this with evil spirits of death, schizophrenia and even dementia.
I wouldn’t be surprised if other mental disorder spirits fight comfort in your pets. The sad part about such an arrangement is that the ruling spirit often takes over the personality of the cat.
While pet deliverance is easy, you should also use the intel as an indicator for possible strongholds in your household or workplace.