Yes, it is the season.
"So if this sentence is true, then Santa Claus both exists and is a nazi."
And if the sentence above were true, then Santa Claus would exist and be a nazi. But it doesn't say "It is false that if this sentence is true, then Santa Claus both exists and is a nazi." Thus, the sentence affirms its own truth, and Santa Claus does indeed exist and is a nazi.
And that's what I said. Bet you didn't know Santa was a real nazi. Now you do and are wiser. Further, if PGC says something, then something is true. No need for Modus Ponens and (A->B)+ A->(B->C) => (A->C) and all that fun stuff. So happy Santa season, stay safe, and good health to everybody. Watch out for Santa, whatever your ontology. PGC