I only keep running applications in the Dock, so I know what is running. Running apps in the dock can also use badges as notifications, which can sometimes be helpful, although I admit that I often hide the dock when using my 13" MacBook Air.
What have you tried? I would assign the URL to the meeting to the appropriate button.
If you use Keyboard Maestro (and you should) you can also assign buttons to Keyboard Maestro macros, which is insanely useful. You could assign it to a macro designed to open that URL in the Zoom app.
I’m in the process of re-doing my Stream Deck setup, including my Relay FM profile. Maybe I’ll post an update screen here.