Extract Part: Only show other instrument while extracted instrument is playing

I have a large score, where the flute plays only rarely.

When the flute plays, it is very important for the flute player to see the piano. However, when the flute doesnt play (90% of the time), it makes no sense to print all that piano sheet music.

Is there a setting, when extracting parts, that says "only show instrument B while instrument A is playing"?
Or a different way to accomplish the same thing?

Thanks!