snivlem,
Thank you for answering those questions for us.
It sounds like this behavior is occurring when the "Sunset to Sunrise" option is selected in the Night Shift preferences, correct?
If you select the "Sunset to Sunrise" option, your Mac uses your location to determine when it’s nighttime for you. "To use this option, you must turn on Location Services. Choose Apple menu > System Preferences, click Security & Privacy, then click Privacy. Select Location Services, click the lock to allow changes, then click Enable Location Services, scroll down to System Services, click Details, select Time Zone & System Customization, then click Done."
Just to confirm, does Night Shift also enable two minutes ahead of schedule if you set Night Shift to use custom times? You can find more information about setting custom times under the "Schedule Night Shift to turn on automatically" part of this page:
Use Night Shift on Mac
Thank you!