I don’t see anything in the midi protocol documentation about TB. (https://www.allen-heath.com/media/dLive-MIDI-TCP-Protocol-1.50.pdf)
What you *could* do, is make an input channel your TB mic, then have “press,” be custom midi message that unmutes that particular channel, release = mute.
You would need to use TCP to send out to a computer or something (Bome box?) and then either have that device immediately return the message back to dLive, or interpolate your outgoing message from the IP8 and return it as the desired mute/unmute. Probably easier to just do something like, for ch128 – (Mute off) 90 7F 3f 7F 00, (mute on) 90 7F 7F 7F 00, mapped directly to your button as custom midi.
It’s a little janky, but totally doable. Hope this helps!