First, the 'hateful star' has been classified Keter-SCP. A simple pulsar. Given its location in the crab nebula and the rate space between us is shrinking, it will take a helluva lot longer than 5000 years to even pose any threat.
More like 5 million years.
I know the sci-fi writers love to play on this and the movies, like Jurassic park season their storyboards with just enough fact to make these fantasies seem logical, but real world, simply not that way and can't happen.
Even that Message in Morse code is no such message without a vivid imagination.
One can depict any message from any pulsar in that,,doesn't make it so.
I don't know to pass this whole thing off as bunk or just ignore it. My world is within reality.