Alaska records two different in times. The IN time for DOT and the IN time for pay. The IN time for DOT is the time the parking brake was last set before the door was opened. The IN time for pay is the later of the door opening, the engine shutting down, OR THE CREW BEING ALLOWED TO LEAVE. If it’s the later than you need to call Schedueling to note it and make sure they pay you. For example, you pull into LAX and customs doesn’t allow you to deplane then you are paid until they say you can deplane.
If you look at the Alaska App, flight boards, etc. you will see the DOT time. If you look at crew access you should see the right time.
So...if you are “making money”!when you get to the gate at 1200 but Menzies can’t figure out how to operate the external power and you kept the engine running...by the book you give them 3 minutes. 2 minutes to start the APU. 5 minutes. DOT/arrivals board will report 1200. Crew Access will report 1205.