Death of stars are fun and make for a great premise, but the actual dying of stars that are conducive to intelligent life aren't so interesting. Stars that can go supernova are too short-lived to harbour intelligent life.

#Questions How do you kill a star such that a civillisation is around to witness the horror of this happening and attempt to avert or escape the catastrophe?

It'll be great to have answers that consider different time-frames, 10,000 years, 100,000 years. 1 million years might be pushing it for how relatable the story can be.

#Background I'd like a set up where the civillisation not only has to try and escape the death of their sun, but also an impending supernova. It would be better if these two events are directly connected.

I also wouldn't mind some science fictional answers (The 'currents of space' was mentioned in another dying sun question, which I thought was quite an interesting way to kill a sun, although it's now dated).