Audition isn't really a music-production DAW - in fact, it doesn't even support MIDI or VST generator plugins. It's mostly an audio recorder and editing software for movie dialogue, game audio, podcasts etc.
Audition used to be Cool Edit Pro. I really loved the UI of that program back in the day. I don't know what it's like these days, but back then (either the late 90s or the early 2000s, I can't quite remember) it was great as a wave file editor and a multi-track mixer.
Ninja'd - was about to write the same but hit refresh beforehand. Syntrillium's Cool Edit Pro did have a multi-track recording and arrangement view, it was no longer a purely sample-based editor (Cool Edit 2000 and earlier did not have this feature, IIRC).
I also don't know how it has changed when it got taken over.
Audacity is audio Notepad. That it runs everywhere is a plus; on the other hand, it's super clunky, it doesn't act like any other DAW, and its editing behaviors are well behind the curve.
I use Logic Pro for most things and have a dedicated, old Mac to run it, but Reaper is quite good and like $60 if one's on Windows or Linux (and isn't nearly as inscrutable as Ardour). Ableton Live is another stand-by and it runs on a Mac.
But in 2022 it's hard to recommend Audacity for much of anything, even aside from their drama problems.