Actually, no, it isn't. They say it isn't necessarily possible, but not self-contradictory as far as we know. It's good that you aren't going to debate this.
You said:
"(...) if you had AGI tomorrow and asked it to figure out FTL warp drives, it would just explain to you how it's not going to happen. It is impossible, the end. In fact the request is fantasy, nigh nonsensical and self-contradictory."
"Isn’t that what the greatest minds in physics would say as well? Yes, yes it is."
That is not in fact what the greatest minds in physics would say. Your meta-knowledge of physics has failed you here, resulting in you posting embarrassing misinformation. I'm just having to correct it to prevent you from misleading anyone else.