This is the "Physics Challenge" debate.
A false dichotomy, of course. The most rational answer is a sort of
via media. No laws of physics were broken, but the manifestation of those laws is not as simplistic and straightforward as the Truthers suppose -- even those who have a well-endowed Hirsch index score.
Not everything is explainable by the government-issued reports, nor do those who accept the conventional narrative use only those sources in forming their opinions. However, it's unlikely that any of the loose ends upon which the conspiracy theories rely has the power to change the overall conclusions that WTC 1 & 2 were destroyed by airliners flown by radical religious fanatics, and that WTC 7 later succumbed to collateral damage.
This is the "Engineering challenge".
Having to read it three times to determine what it really says, it's basically just begging the question of AE911T's legitimacy. Regardless of any debate that might ensue, the answer is a resounding no -- NIST hasn't addressed AE911T's claims. It's up to AE911T to demonstrate that the claims are worth consideration. So far they can't even do that.
The sad part is they have no clue why these are not legitimate challenges.
Oh, I think they know full well why they aren't legitimate challenges. All these profoundly-worded challenges hide premises that the question of legitimacy, such as to alienate anyone who might consider debating them on the putative merits. I believe they're purposely aimed at making sure no one qualifies for them, or would rationally consider engaging the opponents.
When stacking the deck, it's important not to let the onlookers suspect that you've stacked it.