LinuxMusicians

Maybe send the output of the recording track to a bus (instead of to the master) Set the bus fader to zero.

Can't you just mute the track you are recording? (If not, maybe check if your interface has "direct monitor" on...)

The track's mixer strip has an "In" button and a "Disk" button. "In" means it monitors what is incoming, while "Disk" means it only monitors what has been recorded. If you enable "Disk", you will not hear the incoming signal while recording, but should still hear the rest of the music (the other tracks).

Alternatively, muting the track that you are recording should also work. It still records, but the output is just muted.
You can go even further and disconnect the track's output temporarily.