Lan..
The crew hired by Lan Dominicana is being trained to work in Lan Group. They are not going to be working to Lan Dominicana exclusively. There are flights that you will find Dominican crew but not always, they are constantly rotating around the Lan group. That was made clear in the interview/hiring process of the Dominican crew.
Starting next year, all planes will be painted with the title LAN, it will not say Lanchile, Lanperu or LanDominicana just LAN. That's because the airplanes, crew and staff will be rotated all around, not only for one airline.