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Sadly the universe is filled with enough random radio radiation that its unlikely any coherent signal is going to travel more than a few light years. With our current technology there could be an identical version of earth around the nearest star and we probably couldn't detect it.
The signal isn't destroyed though. So one could argue that isolating it in the noise is doable with enough math.
Obviously the real limit is still distance since we'd need a radio dish like the size of earths orbit or something to pick up a signal weakened from many lightyears away.
Probably with virtual telescopes, smaller receivers arrayed throughout the entire solar system, like EHT but biiiiiiiigger
Of course, astronomers find the Oort cloud and want to turn it into a telescope! Figures.
oooh, such a cool idea. I imagined the array in orbit around other planets' Lagrange points but scattering them in the Oort cloud is way excitinger
"I SEE YOU!"
Do you mean that would make a big eye ?
Yes it's a Sauron joke