Hey it sounds to me that you need to check what brake pads are on the car. If the pads are smaller and not sitting in the carrier they will vibrate or move around till the calliper is pressed.
What I would do is contact mini or even a motor factors to see if there is different brake pads for your car. Also if your discs are not secured they car rattle.
These are the only things I can think of as I’ve not seen the car.


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