Hi everyone, and thanks for taking the time to read.

I recently purchased my 1st MINI, a 2011 Cooper S. I got it checked at a BMW service place, with great reviews, before buying. Everything checked out great.

About 1 week after purchasing the car, a very high pitched constant sound upon starting after 5+ hours of not being driven. This doesn't sound like a squeal of a belt issue, at least none I've ever heard. It doesn't go away after the engine gets going. It does fluctuate a bit when pushing the gas, but it doesn't go away. Ultimately, if I turn the the car off and start it up again there is no issue at all, whether I do it as soon as I hear the noise or if I wait, it doesn't matter, off then on again and no more sound.

Any information would be appreciated

Also, as a side note, when I had my neighbor look at it with me we noticed this seems to be missing (see attached images) I know the attached diagram is a different engine model, I just grabbed the wrong photo, but the r56 is the same diagram.

Thanks

Matthew