What is a "cope out"? I've never seen that term and googling doesn't show a definition for that phrase. You use that same phrase - "a lazy cope out" - twice.
Spell check for “cop out” which is a slang idiom “to evade”.
I don't think it's an autocorrect error. Cop doesn't get turned into cope. I think the guy just think's it's "cope out" from seeing the word cope thrown around in similar contexts.