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Hello. You did not enter the text to which this question refers, which makes it impossible for it to be answered accurately. However, I will try to help you in the best possible way.
An affirmation that weakens the author's argument is information that contradicts that argument, that is, information that causes doubts about the veracity of the argument, or that shows the argument as incorrect. In this case, if the author states that it is the government's responsibility to provide and guarantee public health for all citizens, a statement that weakens this is one that contradicts, showing this argument as something inaccurate and incorrect.
I think it would be C. This is because he is saying something that would occur in the future.
