There’s the approach I have to fact-check things, I don’t know what other approach people have honestly. Look up fact-checking, debunking etc. on it. I know there are dozens to hundreds of pages that fact-check the parroted “PETA euthanizes too many dogs” claim. I honestly can’t believe people are still bringing this one up, I don’t know how it could possibly be on me to start digging up sources for you.