Use Music Assistant and HA cast simultaneously

My goal:
Have my morning routine play a radiostation on the TV (with chromecast) while I cast a screen with the weather forecast and calendar appointments for the day using HA cast.

I tried to do this with an automation that starts with Music Assistant followed by calling the HA cast service.
When I do it this way the Music Assistant stops the moment the HA cast starts.
I also tried it the other way around but then I’ve got the same problem the other way around.

Is there a way to let them run simultaneously or is it just not possible?