Obviously, first thing to do is make sure that the zoned heating is not set to keep that area cooler. That eliminated, you need help from an A/C firm to rebalance the airflow in your building.
There is such a thing as booster fans for the ductwork, if the ducting run is very long or has lots of angles, sometimes the heat kind of dissipates before it gets to the room; especially true if it is in a wing by itself. That's the simplest answer, but ...
Is there an air return vent in that part of the house? IME of an unevenly heated/cooled house (mine is like a chimney, tall and very narrow), the most likely recommendation that the HVAC company will give you is to add an extra air return there, so that the static air pressure will be better balanced and the new air from the vents can enter the room more easily without fighting for space, if you will. (That's a very simplistic way of talking about airflow and heat exchange, I know.)
BTW, if by "new home" you meant a new build, call your builder. If you got a warranty on the house, this kind of adjustment should be covered.
ETA: Yes, the orientation of the room vis-a-vis the sun, or dense vegetation, can affect the temperature of a room, but that is normally also affected by time of day. If it is consistently colder in winter or hotter in summer, changes to the airflow or insulation should make some difference at least part of the time. Another possibility, since it's a self-contained suite, might be adding a fireplace, depending on if there is a suitable outer wall to vent it. For a bathroom, the simplest solution is a ceiling-mounted heat lamp.