>Earth's television and radio broadcasts would only be detectable at distances up to 0.3 light-years, less than 1/10 the distance to the nearest star.

This is what I always thought was one of the major problems - unless an alien civilization is directly targeting Earth, we would never detect them. And our EM emissions are too weak to be detected by other aliens unless they stumble near us for some reason.

Not so:

They found that airport radar systems, which sweep the skies for airplanes, send out a combined radio signal of 2×1015 watts. That’s enough for telescopes comparable to the Green Bank Telescope in West Virginia to pick up as far as 200 light-years away. [0]

200 ly is about 100k stars

[0]: https://earthsky.org/space/airport-radar-could-signal-earth-...