Does Don't Starve Together run on Mac?

Yes — Don't Starve Together has a native Mac version.

Start there, not with us: Steam lists a macOS build of Don't Starve Together and your Steam purchase includes it, so install that first. We would rather tell you that than sell you a compatibility layer you have no use for. If the native build turns out to be an old one that no longer runs on modern macOS, Pixel Port runs the Windows version instead.