If you dashcam activate parking mode, there should be a setting on your dashcam's parking mode or OBD to set that.

For DDPAI Z50, we have a setting we can activate in parking mode to cut off dashcam power if battery falls below 12.4V (up to you to set, 12.4V is the max setting to cut power).
Again for DDPAI OBD, the OBD plug itself has a switch for 24 hours and ACC. If you want to park longer terms and fear the worst, just look for the OBD plug and click the switch to ACC. That one will supposedly cut OBD power whenever you switch off car engine.