Audacity will record multi-channel. You should know Audacity gets its sound from Windows, not the device, so you should have a multi-channel device driver in and working before you even launch Audacity.
There’s a posting collection for multi-track recording. Not all the devices work right.
https://forum.audacityteam.org/t/multi-channel-recording-in-audacity/15644/1
A very common problem is to have a Multi Channel Device!!!, but its channels are arranged in stereo pairs, so your choices are 1-2, or 3-4, or 5-6.
Before you get all excited about multi-channel recording, please note your performers need to be in separate areas or rooms. If you don’t do that, each performer is going to leak into the others even with good microphones and drive you nuts trying to do post production.
You can do it this way.
That will give you good quality sound and also good isolation. Depending on the maker, he’s holding about $800.
Koz