Let's say that life on another planet 150 million billion miles away wanted to send us a message. So that's 25,000 light years away. They send us one single 1 minute duration message at t=0 and that message travels at the speed of light as an example. And let's just say t=25000 happens to be today. Does that mean that we have a one minute window to intercept part of the message otherwise it's lost?
If so, let's say the life on that planet was persistent and continued to send messages continuously directly to us and no other planets for 500 years. Then I would assume we have a 500 year period to play with. If they started sending signals let's say 10,000 years ago, it seems we have absolutely no chance to receive the message unless this program is operational for the next 15,000 years or so. But our odds of receiving an intelligent signal is vastly higher simply due to the number of planets in our galaxy. Is my understanding remotely correct?