If the expansion of the universe continues, as current cosmology holds it should, there will come some future point where—according to your model of reality—you don’t expect to be able to interact with the spaceship even in principle; it has gone over the cosmological horizon relative to you, and photons leaving it will not be able to outrace the expansion of the universe.
IIRC for this to be true the universe’s expansion has to accelerate, and the acceleration has to stay bounded above zero forever. (IIRC this is still considered the most probable case.)
If the expansion of the universe continues, as current cosmology holds it should, there will come some future point where—according to your model of reality—you don’t expect to be able to interact with the spaceship even in principle; it has gone over the cosmological horizon relative to you, and photons leaving it will not be able to outrace the expansion of the universe.
IIRC for this to be true the universe’s expansion has to accelerate, and the acceleration has to stay bounded above zero forever. (IIRC this is still considered the most probable case.)