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I'd have to answer this question with another. What are the traits of the desired outcome?
Should it be the quality of said outcome, then missing a deadline would be just another day at the office, especially for small teams.
Don't feel cornered by this question. We all face this difficult decision sometimes, and most of us don't choose one option consistently — we choose the option that best fits the circumstances at the time. Simply open up and explain your typical decision-making strategies so your interviewer can gain a broad sense of who you are and how you approach tricky problems.