No. You said, "but [animals getting tortured in factory farms] is [the reason vegans don't eat meat] tho." That is the whole dispute. That statement is factually incorrect, but you keep doubling down and doubling down. I repeat, your statement is inconsistent with the basic definition of veganism.

Veganism is the reason that vegans don't eat meat. That is trivially obvious. Veganism doesn't say it is okay to eat meat if it wasn't factory farmed. It says do not exploit animals. These are factual claims that you can easily verify by consulting The Vegan Society. I'm sure your friends are against factory farms, but, going way back to the original claim that you are trying to dispute:

THAT ISN'T THE REASON VEGANS DON'T EAT MEAT.