If you wish, follow the manufacturer's break in procedures, assuming that your owner's manual has specific recommendations. Once you have exceeded what the manufacturer considers an adequate break in period, you can do what you want.
However, synthetic oil can be used in any engine at any time. Much of the difference between petroleum based oil and synthetic oil is in its reaction to heat and its ability to maintain stability at temperatures above what would otherwise be normal operating temps, rather than lubricity at a comparable temperature. Using synthetic oil won't cause the motor not to break in, and I have not seen any scientific analysis of engine break in vis a vis synthetic oil. Whether the use of synthetic oil would prolong break in is the question, and I have not seen other than anecdotal discussion on the point. Synthetic oil does not cause seals to leak.
Personally, I would consider 1,800 miles as too short a period to consider any modern engine broken in, and I believe that how you drive the vehicle during this period is far more important to longevity of the engine than what kind of oil you use. Short commutes and inadequate heating and cooling cycles are more likely to prevent break in than using synthetic oil. The best way to break in an engine is to use it. Get it fully warmed up, and drive it both around town and on the highway. Take it for a trip.
Changing oil at 1,800 miles has more to do with flushing out assembly junk than with the break in period. Initially there will be a higher concentration of debris, partly due to new parts getting to know each other, and more so due to loose metallic and other bits that just a part of building a motor. No problem changing oil at this point, along with a new filter. Which oil to use should be up to you unless the manufacturer specifically states that the use of synthetic oil at this point in the motor's life places the warranty in jeopardy.