So in reality, there is a maximum distance we need to consider - the distance where any signal would have any chance of reaching a detectable region.
But besides, this still misses the most important part. Until 10 billion years ago, stars were much too big and poor in metals and unstable. We didn't have an earth until 5 billion years ago. It was inhospitable to life for a LONG time. We've only had multicellular organisms of any kind for 800M years. Our star is unusually calm, meaning we don't have to worry about being bleached every 5 million years or whatever.
I've said this a couple times in this conversation, but the best guess is honestly that we're the forerunners.
The problem is "out there" is so far away, we are all isolated on our own island worlds. An ocean of space so vast we cannot meaningfully traverse it with probes or radio, to say nothing of manned interstellar flight.
But it never gets boring for me to imagine what other civilizations there might be, and how they might be different from us and from each other.
All the power of stars, and most of them still are not powerful enough that we can see them even on a dark night! What chance does any alien have of sending a message that reaches us if the light from their star isn't even powerful enough to be easy to detect? It was suggested elsewhere that even if we find an alien, we probably cannot respond if they are more than 100 light years away just because we can't get a message out powerful enough that they can detect (I can't verify this claim but it is reasonable)