TIL that HA notifications can have associated actions. I have the exact same setup as you, except I only receive the notification and then walk over to the laptop to unblock the agent feeling like a human tool call. This will improve my workflow, thank you.
The notification payload for reference, you will also need a permission input_select (pending/allow/deny) and an automation that triggers upon mobile_app_notification_action:
Actionable notifications are a bit cumbersome on iOS since you need to long-press the notification for actions, but it does work.