Another way to achieve what you want is to create a hidden proxy input boolean that you set to true on every motion detection and use an automation to 1) notify you when set to True, 2) wait for 10 minutes and then set it to False.
input_boolean:
notify_motion:
name: Notify When Motion Detected
initial: off
automation:
- alias: Detect Motion
trigger:
- platform: state
entity_id: binary_sensor.my_motion_sensor
state: on
action:
- service: input_boolean.turn_on
entity_id: input_boolean.notify_motion
- alias: Notify Motion
trigger:
- platform: state
entity_id: input_boolean.notify_motion
state: on
action:
- service: notify.notify
data:
message: 'Motion detected'
- delay: 10:00
- service: input_boolean.turn_off
entity_id: input_boolean.notify_motion