This is a really good point. If it’s going to be an extra semester or two to graduate from NYU after the transfer, that extra semester or two can be toward a master’s degree if it’s done after graduation.
Also, if you really want to get away from Georgetown, I wonder if you can do a semester at another college - perhaps NYU? Most colleges allow you to transfer in some credits from another school as students studying abroad do. Taking courses in 2 the summer semesters might also enable you to graduate early and move on.