Past the technical problems (you didn’t say how many people will be in the show), we assume you will be in your kitchen or living room. So even if you did manage to record three or four separate microphones, each microphone will be recording their performer and about 25% of the performers on each side. So there is no correcting a word fluff or mistake. You might be able to throw some tonal corrections in there, but anything you do is going to affect the neighbors as well.
You want to record Skype, Zoom, iChat, or other meetings or interviews, too, right? The answer is even more, you don’t. You will get your local microphone, or the far side microphone, but not both.
Zoom will record individual performers on their own sound channel if you ask them nice. It’s not the worst idea to do the whole show on Zoom, including the local performers. Tell them to stay home and join the Zoom with headphones.
I’m not joking. Home computers have one recording channel either stereo or mono and one playback channel either stereo or mono. Full Stop. That’s it. If you really blow the bucks and get a multi-channel mixer with special software drivers, then maybe you can do the local show, but still not an outside interview.
https://forum.audacityteam.org/t/multi-channel-recording-in-audacity/15644/1
Koz