I personally don't care about any of that. I'm not sure what I'd need to "escape" from. There's infinitely more than enough on Earth -- even a minute slice of Earth -- for one human qua human.
Even the exploratory impulse you seem to be experiencing seems misaligned with your conclusion. There are places, people, cities, societies, continents, ocean floors, mountain peaks, unplumbed caves, blistered deserts, dark forests, that you haven't seen here -- what's so hot about Alpha Centauri?
Any place I can visit on Earth will be not so much different as a planet on Alpha Centauri. More unknowns. More information to process.
Another thing is potentiality. If I want, I can afford to go to any place on Earth (I have to save some money for, say, South Pole, but it is still possible). But I can't go beyond Solar System, ever. Maybe it is my character, but when I hear about something that I "can't" do, I become obsessed by it until I can, or at least I can chart a path to this, even potentially.
And it's not I am not trying. I lived (as a legal resident) in six different countries, and visited around 35 more. I saw dark forests, and volcanoes, and icebergs, and glaciers, and other natural wonders. I am not as proficient as some pro-grade travellers who visited every country on Earth, but I hope to see more.
I can appreciate that. I don't think that I'd agree with your conclusions, but I can understand the desire.
Here's another question: how does an immortal AI seeing Sirius thousands of years after your death help you with this at all? It seems entirely tangential to me.
Even the exploratory impulse you seem to be experiencing seems misaligned with your conclusion. There are places, people, cities, societies, continents, ocean floors, mountain peaks, unplumbed caves, blistered deserts, dark forests, that you haven't seen here -- what's so hot about Alpha Centauri?