Custom Object Triggers Missing from Notification Preferences LOV

Hi Everyone,I am trying to implement a requirement where an Agent and HRHD Manager are notified if a ticket remains inactive (no updates) for more than 3 days. We are using an Object Trigger with a Groovy expression to handle this, but we have run into two main roadblocks:

1. Trigger Not in LOV: After creating and publishing the object trigger in Application Composer, it does not appear in the Notification Preferences List of Values (LOV). We are unable to map it to any notification.
2. Execution Logic: We are concerned that because an Object Trigger generally requires a "save" or "update" action to fire, it might not work for a "no-activity" case where the record is simply sitting idle.