Which term refers to a style that is extravagantly ornate and flamboyant?

The term that refers to a style that is extravagantly ornate and flamboyant is indeed Baroque. This style emerged in Europe in the 17th century and is characterized by its dramatic use of light and shadow, rich colors, and elaborate details. Baroque art and architecture often evoke a sense of grandeur and opulence, reflecting the cultural and political dynamics of the time. The emphasis on ornamentation and complexity in forms aligns perfectly with the definition provided in the question.

Romantic reflects a movement prioritizing emotion and individualism, often emphasizing nature rather than ornate styles. Gothic, while also associated with intricacy, pertains more to architecture and literature with darker themes rather than flamboyance. Minimalist, conversely, highlights simplicity and a lack of ornamentation, standing in stark contrast to the extravagance characteristic of Baroque style. Therefore, Baroque accurately captures the essence of extravagance and ornateness described in the question.