Close.
It’s catholic, “universal”
Biblically, the body of Christ is made up of every born again believer.
Some in the Catholic denomination qualify.
If the Catholic church declares that the body of Christ is only made up of Catholics, (as your post seems to infer) then they are off track Biblically.
There is no salvation outside the Catholic Church. And I could care less what liberal garbage came out of Vatican II, which was hijacked by protestants.
Salvation is through the Catholic Church. End of story. I don’t sugercoat false religions and protestants preach a false religion and have been for 500 years.