Kanye West teamed up with Kim Kardashian and Hype Williams for a music video shoot in L.A. yesterday -- but it wasn't for his own album ... it was all for Kim's upcoming single.
Sources connected to the video tell us ... Hype -- the most famous music video director on the planet -- spent hours working with Kim and Kanye during a secret closed set shoot.
As we previously reported, Kim is working on an entire studio album with super-producer The Dream -- but it's unclear when the world will finally get a chance to hear KK's voice.
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