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We have a bag lled with 201 marbles, of which 100 of them are blue and 101 of them are red. Every turn, we remove

We have a bag filled with 201 marbles, of which 100 of them are blue and 101 of them are red. Every turn, we remove 2 marbles from the bag. If the two marbles are of the same color, we remove the two marbles but add a blue marble into the bag. If the two marbles are of different colors, we remove the two marbles and add a red marble into the bag.
What is the color of the last marble in the bag?

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