Meanwhile, radio, TV and radar have been advertising the presence of a new technological civilization on Earth for more than a century. That means any entity worth worrying about within a 100+ light year radius - a distance 44+ times longer than to Proxima - already knows about us. And that sphere keeps growing in all directions at the speed of light, or roughly 18000 times faster than Voyager 1 is moving.
If you really want to worry about the Dark Forest, it would be more justified to ask if your local radio station takes into account the repercussions of sending commercials and TOS reruns into deep space.
There’s actually a documentary about this:
In fact some billionaires [2] invest into using telescopes with fast sampling cameras (in this case IACT [3] telescopes used normally to detect gamma-rays by their interaction with the atmosphere) to detect flashed of extraterrestrial lasers.
[1] https://en.wikipedia.org/wiki/Phased_array (see the animation of the radiation pattern)
[2] https://www.space.com/are-aliens-flashing-laser-beams.html
We're not talking about lasers and directional antenna here, we're talking about humans using radio communications to talk to each other on Earth over the last 100 years, and whether that's detectable from great distances.
military radar transmissions set up during the Cold War to detect incoming ballistic missiles have the power and frequency characteristics to be detected over hundreds of light-years – and have already broadcast our existence to any aliens within around 60 light-years of the Earth [1]
But never underestimate the power of television:
The most detectable and useful escaping signals arise in a few ultra-powerful military radar systems and in normal television broad-casting. A model including over 2,000 television transmitters is used to demonstrate the wealth of astronomical and cultural information available from a distant observer’s careful monitoring of frequency and intensity variations in individual video carriers (program material is not taken to be detectable). [2][3]
once the Square Kilometer Array is completed in Australia and Africa, it would be able to detect the current TV carrier wave radio leakage at a distance of about fifty lightyears for objects in the southern hemisphere sky [4]
[1] https://www.sciencefocus.com/space/how-far-from-earth-could-...
[2] https://link.springer.com/chapter/10.1007/978-94-009-9115-6_...
[3] https://www.science.org/doi/10.1126/science.199.4327.377
[4] https://www.forbes.com/sites/quora/2017/01/27/how-far-into-s...
"Oh, looks like Earth just got radio waves, which means there's probably life there."
From there you just monitor the wave Hertz output by the planet, and when they start transmitting waves at higher Hz, you know it might be time to meet up.
"Oh they're sending photonic gamma rays as messages now instead of radio waves, I'm gonna go say Hi."