LOM tracks that are in group finder

Me and my friend have a big liveset with a combined track count of around 800 ableton tracks. All the songs are organized in group tracks, each song is a different group. Because we have around 30 songs with a lot plugins i wanne make a device that turns on/off these plugins per song.

The device that chooses wich song to play is already made, but i now need a max for live device that i can drop on the grouptrack of the song and searches for all the tracks that are in this grouptrack. If i now wich tracks are in this group it will be easy to turn all the plugins of because all the plugins per track are in an intrument rack, so it can be turn of be finding the path "live_set tracks (X) devices 0 parameters 0"

The only problem i encountered is that i can seem to find a way to find the path of all the tracks that are in the selelected group track. I could only see the group track ID of the track, i want this reverse. Is this even possible or should i make a whole scanning device for this.

I also could just manualy map all the on/off switches of the instruments rack but this doesn't seem a clean solution for such a big project.