In the sentence, that is the subject, so no inversion can take put. Additionally, the final clause is an announcement, not a question: that's operating to be a relative pronoun, not as a question term. Exactly the same would implement if it were being an adverbial. Evaluate these two sentences: https://ethnicity29627.pointblog.net/the-smart-trick-of-drt-advocate-that-no-one-is-discussing-82809307