Tires are tires; the only difference between Mercedes's Alpin 5 tire vs the standard Alpin 5 tire is that Mercedes put a little more development into the tread pattern or compound and therefore their tires will be a bit more expensive than the standard Alpin 5. Same goes for any BMW spec tires. Neither are required to be used for any specific car, barring any changes to the load limit, but any tire shop you'd go to you would ensure the load limit of the tire is acceptable for the car.
Bottom line: should be fine.
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