Yeah we have a good backup star <5ly away. In hundreds of millions to 1-2 billion years when this becomes a problem we (or more likely whatever descends from us

Yeah we have a good backup star <5ly away. In hundreds of millions to 1-2 billion years when this becomes a problem we (or more likely whatever descends from us or the AIs we build) will either be able to move easily or will be extinct already. AI intelligences would have no problem traveling between stars. Who cares if it takes thousands of years even... just turn yourself off. Even better send automated factories to build compute power and robotics and then transmit your minds when the new site is ready.