Audio stops when switching tab groups in Safari 16
I'm on the latest (as of this post) version of MacOS, Monterey 12.6, and using Safari 16. When I have audio playing in a tab in a tab group, when I switch to another tab group, the audio stops playing. This is problem as I like having a tab group of music streaming sites in the background while working in a different tab group. I've tried searching around preferences, but I can't find a way to change this behavior. I'd like to use tab groups, but this is a hard deal-breaker.
Is this a bug? Is there a way to fix it?