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It only comes with the complete black side moulding. Your best bet is to try to get one from a wrecking yard, or someone parting out a car. You can't just order this piece unfortunately.
...and, if there is no alternative to drive in car washes such as bucket and soap, expect to have other such issues from time to time. Car washes hate MINIs. Yours is not the first post on this forum with car wash damage.