Thus the argument's premise that 'if shared beliefs determined content, the utterance would be true' misidentifies which beliefs are theoretically relevant to content determination.

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Content (in philosophy of language)(what an utterance communicates): The meaning or information that a statement carries—what it's actually about.
Premise: A premise is a statement or fact that you assume to be true as a starting point for reasoning or making an argument. Think of it as the foundation or building block you use to reach a conclusion—for example, "All dogs are animals" and "My pet is a dog" are premises that lead to the conclusion "My pet is an animal." Premises are essentially the evidence or claims you offer before drawing a final conclusion.
content determination(as used in philosophy of language): The process or conditions that decide what a statement actually means.
theoretically relevant(as used in philosophy): Important or necessary when explaining how something works according to a particular theory or framework.
utterance

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