Do they work with two time zones or time systems when you have a team on Earth and another Team on The Moon coordinating tasks? So the team on the Moon follows

Do they work with two time zones or time systems when you have a team on Earth and another Team on The Moon coordinating tasks? So the team on the Moon follows a Moon time zone and the team remaining on Earth follow a chosen Earth time zone and then they sync things up? What is the use case for teams using two time zones/systems or does the earthbound team use the Moon time zone and is that better than the team on the Moon following an Earth time zone?