Keep Live Activity on Home Screen but no notifications

I have the Live Activity for sports (I presume via the new Sports app) on my Home Screen, and also showing up on my watch. I want to keep them there, but I can’t find anywhere to turn off notifications for it. My watch keeps getting pinged with any score, for example. The Sports app doesn’t have a spot to mute this, as best I can tell, and there’s nothing in Notifications in the Settings app that I can find. Any ideas?