Was considering getting a tubal after my c/s with this babe, but found out I'm not allowed because it's a Catholic hospital

WTF. Seriously. I am not Catholic. I will be 40 years old when this baby (#3) is born. We are definitely done after this one... I'll already be on the operating table and it's covered by insurance. I'm SO annoyed. 
Switching hospitals is not an option... It's the only hospital with a level 3 NICU and my last baby needed the NICU.
Has anyone else run in to this?