I voted “Other,” because I find it always offensive when it comes up in a conversation I am part of, but I can imagine, if I try, contexts where it isn’t offensive. I don’t think that the PG Wodehouse book where Bertie Wooster talks about wanting to hear a group of American “n***** minstrels” who are playing in England some place, because he is interested in playing the banjolele, and they play one, should be rewritten, and I don’t think Huckleberry Finn should be rewritten. I don’t think African Americans who use the word among themselves should censor their speech when I am nearby, just because I am not part of the conversation. I am capable of understanding why they can use it, and I can’t.
I know that there is a movie where a British military officer had a dog (who played a key role) named "N*****, because the dog was black, and it wasn’t considered offensive in that time and place, and I personally think the name of the dog shouldn’t be changed for the movie, but I do understand that some African Americans might find it so distracting, that a director might choose to change the name for the movie. Things like that do happen in movies.
I also understand that for realism, sometimes the word gets used in movies where either socially or historically, no other word will do. That is not really a conversation, but it might mean that it is later necessary for a reviewer to use the word (saying “the n-word” might not be clear), and that I would not argue with either.
See, I could come up with special examples all day. But in ordinary, non-special examples, I don’t think there is ever any reason to use the word. The only reason anyone would use it is to offend. We are beyond the time, I think, when there are people left who grew up when it was the generally accepted word. There might be elderly people in whose youth “colored people” was normal, and they may still use that on occasion, but I think the n-word has been offensive for so long, everywhere in the US, and other words have been available, that no one can use the excuse “It was acceptable when I grew up.” I heard and believed that excuse back in the 1980s when I was in high school, but that was 35 years ago. I think that time is done.
So I picked “Other.” I am Jewish, and my family came to this country after a very long time in Europe, so anyone looking at me would call me white (except for a few neo-Nazis, perhaps); the word always offends me in normal conversation.