Just to clarify, the noise happens when I'm driving and pressing the gas and the supercharger engages. At light load and normal/light driving there is absolutely no noise. I can hear it louder when driving next to cement dividers/walls and it seems to be more pronounced on the driver's side. How likely that it is the clutch/bearing?

I just recently purchased the car and it is bone stock, acceleration wise it seems to be identical to the stock acceleration videos such as this one:
I was also watching the following video and it seems that the supercharger is always on during even the lightest acceleration once going 10mph+
Does that sound right? My other guess would be a very small exhaust leak that lets through the exhaust gases during heavier acceleration - more exhaust flow because I can smell fuel during moderate/hard acceleration and only with windows down.