Introduction: The image at left is a screenshot of the pinned tweet on the twitter account of someone going by “Travis for President.” This appears to be an attempted commentary on vaccination mandates, as born out by his own comment just below the original post.
Key Facts: The post is clearly intended to comment on vaccination and/or mask mandates in relation to Covid19 mitigation. Covid19 is an infectious disease. Allergies are not contagious.
Text: “I hate allergy season. I took Claritin, but nobody else did so my allergy medicine isn’t working.”
Comments: It’s not entirely clear how serious to take the account or any of its arguments, but it’s posts are consistently aligned with the Trump movement in general, and the anti-vaccination movement in particular. So, it seems fair to think the source means for this argument to be taken seriously. It is possible that he also thinks of this as parody in some way, but if so, the focus on the irony is quite unclear.
Statements: One problem with this argument is that doesn’t attempt to refute a specific claim so much as a pattern of reasoning. It does so by satirizing that pattern. So, much of the actual reasoning is implied and we have to reconstruct many of the statements used in that reasoning. Each of the missing statements here seems strongly implied, but it is difficult to arrive at the actual wording of statement 6. I have presented two different versions, one [6a] attempting to describe the actual basis for vaccine mandates as I can get it and one [6b] presenting a more general expectation that medications must be generally applied to be effective in individual cases.
[a] I hate allergy season.
 I took Claritin.
 nobody else did
 my allergy medicine isn’t working.
 [Allergy medication would not cease working as a result of these circumstances.]
 [Vaccine mandates are not reasonable.]
[6a] [Vaccines are mandated because broad use by the general public is critical to their success in preventing spread of disease.]
[6b] [Vaccines are mandated because broad use by the general public is critical to the success of any medication, even for those who use them.]
Diagram: This is a relatively simple argument. 1+2+->3 is the explicit argument advanced in the tweet. 3+-> introduces the implied criticism to arrive at a statement against vaccination.
Discussion: The following themes come up in this argument: Ambiguity, Analogy, Meta-Argumentation, Micro-Reasoning, Missing Assertions, Parody, Poe’s Law, Reductio ad Absurdum, Straw Man, Sub-deduction.
Ambiguity: Because much of this argument is implied, it leaves us with at least one tricky question. Does the author literally believe (or want others to believe) that vaccines and allergy medications are no different with respect to this issue? If the answer to this is yes, then we could represent that belief in the form of a missing assumption, but I can think of no relevant version of that assumption which would not be false. In the diagram above, I have used what I take to be a reasonable approximation of a pro-mandate position in statement 6a, but this would not help the author get to statement 3. Statement 6b incorporates the analogy between allergy medications and vaccines, which would make the inference stronger, but only by including an assumption that is clearly false, and which is NOT representative of the case for vaccine mandates.
We can move the problem around a little (putting it in the truth values of his assumptions or logical value of his inferences. What we can’t do is make the problem go away. One way or another this is a deeply flawed argument, so much so that it is tempting to think that it make be intended as a joke. It is, however, by no means clear that the author does not wish to be taken taken seriously, and it may well be that he hasn’t made up his own mind as to how serious he is about this argument.
Analogy: One way or another, this argument involves some form of analogical reasoning. The author is suggesting that allergies and viruses and their treatment are the same in at least some critical respect. What that is, he does not say, but most people would suggest that the contagious nature of a virus makes it significantly different from allergies in a way that is directly relevant to questions about the threats posed by others. It’s tough to see how anything could override this very substantial difference.
Meta-Argumentation: Insofar as the author of this argument is mocking the reasoning of those supporting vaccine mandates, he is engaging in an argument about the arguments produced by others. It might have been more interesting if he had referred directly to some specific pro-mandate text, but as it stands, he is presenting this as a kind of general parody of pro-vaccination rhetoric.
Micro-reasoning: As with most any tweet, this argument doesn’t really provide us with enough detail to understand its authors actual reasoning.
Missing Assertions: This argument contains three assertions which are missing from the original text, but strongly implied. I think statements  and  represent the author’s intent pretty well, but it is difficult to tell just how he would frame the specific wording for statement . If statement 6 isn’t drawn broadly, then it will not produce any reason to infer 3 from statements 1 and 2, but if it is drawn broadly (as in version 6b), then it becomes a simple caricature of the actual pro-mandate position, and this effectively makes the entire argument a straw man. So, there is no way to make statement 6 work.
Poe’s Law: This argument beautifully illustrates a generalized version of Poe’s Law insofar as the utter absurdity of so much anti-vaccination makes it difficult to discern whether or not this utterly foolish argument is meant to be taken seriously or not.
Parody: The actual argument produced by this author is clearly a parody of arguments in favor of a vaccine mandate. The shear absurdity of this argument makes it tempting to think that it is actually offered as a parody of right wing (anti-vax) reasoning, but apart from the utter foolishness of this and other posts made on the account, the author gives us no specific reason to think he means to mock the anti-vax camp. It seems more likely that he really criticize vaccination mandates with this argument.
Reducatio ad Absurdum: This argument is an effort to reduce the argument in favor of vaccine mandates to an absurdity (in this case, the position that allergy medication won’t work if it isn’t taken by others). One could think of the first inference as his sub-deduction, predicated on some vague sense of the basis for vaccine mandates. To say that it fails is putting it mildly.
Straw Man: Insofar as the only version of 6 which would make the sub-deduction of the argument work is not represent of the pro-mandate position, this argument does appear to be a straw man. A more modest variation of 6 might eliminate this problem, but such a variation would fail to generate the necessary inference.
Sub-Deduction: The sub-deduction in this argument fails. Without statement , there is no reason to infer statements 3 from statements 1 and 2. Statement 6a still doesn’t get us there, and statement 6b does so only at the expense of being both manifestly false and completely unrepresentative of the case for vaccine mandates. the sub-deduction of this argument fails either way.
Evaluation: This argument fails, because the first inference is unsound.
Final Thoughts: Yes, I spent way too much time on this one.