So many features on these cars are electronically driven these days, it may be something other than a strictly mechanical issue. I'd wait and see what the MINI tech finds before jumping to any conclusions. If the clutch plate is burnt or otherwise damaged in some way it may be a matter of replacing the clutch plate and repairing whatever might have caused the malfunction without complete transmission replacement. Keep us posted on what MINI finds.
Good Luck,
John
Good Luck,
John