Mute Sonos speaker on echo dot wake word

I have several Sonos speakers and echo dots in different rooms. Because of the way the house is wired, they are usually close together and when a speaker is playing it is often difficult for the echo dot alongside it to understand voice commands - although they usually get the wake word.

Is there a way to mute the Sonos speaker when the dot hears the wake word?

I have the Sonos and the Alexa integrations, plus the Alexa Media Player. Running Home Assistant OS 2021.1.0 on a Pi4.