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There is no way you have diluted the coolant mix to 20% coolant and 80% water by just having it topped off two times. There is over 2 gallons of coolant in the cooling system. The dealer would have had to put over 1.5 gallons of plain water in the system to get a 20/80 ratio. There is not a dealer in the world that would do that because your car would have either a leak or blown head gasket to use that much coolant in that amount of time. The low coolant light comes on with less that about 8 ounces of lost coolant. You are close enough to the proper mix.
The best thing to do is get some BMW coolant and premix it as necessary to 50/50 and add some when necessary. Change the coolant at 100,000 miles.
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