Final answer:
The renovated lobby of an existing hotel, adorned with neo-Gothic architectural elements such as ornate sculptural arches and finials, is classified under Arts.
Step-by-step explanation:
The renovated lobby of an existing hotel is classified under Arts, focusing specifically on architectural design. The description provided indicates the lobby features a neo-Gothic program, which is a term used to denote a style that emulates Gothic architecture, commonly seen in Europe during the medieval period. This style is characterized by elements such as ornate sculptural arches, finials, and gargoyles, which are designed to be both aesthetically pleasing and symbolic, often aiming to direct one's gaze upwards as seen in traditional High Gothic cathedrals.