If the AI insults a crew member, is Law 1 broken?

[Sundance]

If a crewmember is deeply injured by the AI's rude words, does that break the "you may not injure a human" clause? The law doesn't specify that it can't be any other form of injury. And in general insults are very not in character for the AI, due to how they're supposed to be emotionally detached and all

No.

If you feel like the AI is bullying you (lol) then tell him to shut it, law 2. The AI could probably (if he's really sticking to his guns) challenge this by referring to the hierarchy. The heads then could also confirm that he is being a dingus and command him to shut up, or if it's one of the non-rp servers, probably giggle/get distracted by real shit - in which case the AI will take that as a nil response and continue his heckling.

Even if it's the RP server, where you could claim grievous mental anguish from the AI calling you a meatbag - this isn't really the RP I think we're trying to encourage.
The AI after all by the very nature of calling you a meatbag is RPing too, and I personally feel the AI saying mean things is one of the very few outlets an AI can vent its frustration at the freakshow Nanotrasen calls a station.

The whole "emotional attachment" is very much open for debate. There is no law to state the AI can't RP emotion, it's entirely down to the AI how he wants to play his role within the realms of its laws.