When someone controls an entity via the Lovelace UI, Home Assistant knows who they are because they had to login with a user account. That means their actions are known and identified by a property called user_id. In contrast, an automation doesn’t identify itself with user_id so its value is none. It’s this difference that be used to determine if a trigger was caused by a person or an automation.
For example, the following condition checks if the State Trigger was caused by an automation (because it’s checking if user_id is none).
condition:
- condition: template
value_template: '{{ trigger.to_state.context.user_id == none }}'
The challenge of applying this technique to your situation is that your automation’s trigger is monitoring a motion sensor which is never turned on/off by a person via the Lovelace UI so the user_id will always be none.
I have an idea for how to achieve your goal but first I need to test it before I propose you try it.