Longman says "mi-nit", while Merriam Webster says "mi-nut". I have never paid too much attention to that, because I have heard it several times, so I can just say it the way I have usually heard it, which is more like "mi-nit". Also, I don't pay much attention to some schwa transcriptions in non-stressed vowels, for the following reason: the weak vowel merger, also called Lennon-Lenin merger.
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