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I don't know the technology in use for this, but track and field starters can use a remote start sensor to start the clock. The way it works is it sends a signal that includes the time when the sensor was triggered. If the signal is missed by the receiving end, you press a button on the transmitter and it resends the time, effectively starting the clock retroactively.
If this works the similarly, it wouldn't matter which "echo" the receiver were to receive, it has a timestamp in the signal and can automatically adjust the clock to take that timestamp into account.
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