How would we calculate the answer to this simple counting game problem?

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I am conscious of the fact that this question is very elementary, but I have no apparent idea as to how one intends to go about it. If someone could kindly provide a layman possessing the soul of myself some mathematical intuition, it would be appreciated greatly.

Consider the following counting game, in which Person A will say the number 1, then Person B states the next two numbers (i.e. 2 and 3), Person C shall say the next three numbers, prior to the moment when Person A states the next four numbers. This process continues to proceed in a rotation, until the number googleplexian is obtained. The question I wish to pose is: Out of Person A, B and C, who states the last number?