Is there a way to stop app update notices in sequoia

Two possible ways to accomplish this.

1) System Settings > Notifications [your app names], Then disable notifications

2) Look for automatic updates within the app settings. Then disable there as well.

If you are referring to App Store App's..?

Go to the App Store > Account Settings > Purchased and hide or delete those App's.

If you are referring to other App's..?

Please provide us with a list of those App's.