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I have been working full-time for a software startup since I graduated (June 2015). The company is working on a very interesting project, but with very poor management(small team), no vision and no room for career growth which explains the very high turnover rate every year. I first joined because the project was interesting, but now I am convinced that I can't advance in my career in such an environment and that I am working on something that is probably going to fail because of the way it is managed. This even made me depressed most of the time and hate my current job. And trust me, we tried to talk to the manager to do something about it, but in vain.
Right now, I am looking for another job and doing some interviews. And every time I tell the technical recruiter about the project that I am working on, I am asked why do I want to leave because the project is interesting. I know I can say that I am looking for new challenges, which is true, but isn't that the standard answer that every recruiter is expecting to hear? Can I bring that up by any way during the interview of course without badmouthing my employer, especially that those are common problems in startups?
PS: I know there are other questions talking about this particular topic, but I just wanted some help for my specific situation.