It's always fun learning from the vast collective expertise here at FR! So there was a suitable star that produced a Type II Supernova close enough to produce a threat we'd have enough warning to at least philosophize over our impending doom. The neutrino front leading the radiation front by a matter of hours wouldn't be enough if the radiation was the danger. By the time neutrino astronomers identified it, satisfied themselves as to what was coming, then managed to explain their conclusions to a bunch of scientifically illiterate politicians and media our doom would be here. But the delay from the radiation front to the shock wave would allow for thinking things over.
One might right a good SF story over how that would go, Asimov's Nightfall comes to mind as a model. Not, absent available warp drive, that we could do much to save ourselves. We couldn't even do much to save our legacy for posterity as our records would be destroyed along with us. The one way we might save our legacy would be to build a giant commucation laser and transmit it to somewhere promising — Mote in God's Eye without the Moties themselves visiting.
“....Mote in God’s Eye ....”
I haven’t read that book in a long time!
Now I have to go get a copy & read it again.