Which cavalry unit was famously led by Theodore Roosevelt during the Spanish-American War?

During the Spanish-American War, Theodore Roosevelt gained considerable fame as the leader of the Rough Riders, a volunteer cavalry regiment. This unit was officially known as the 1st United States Volunteer Cavalry, which may create some confusion with the other choices. However, the term "Rough Riders" specifically refers to Roosevelt's regiment and is the name most commonly associated with him and his exploits during the conflict. The Rough Riders played a significant role in the Battle of San Juan Hill, where their charge became emblematic of American valor and the spirit of the war. Roosevelt's leadership and the distinctiveness of the Rough Riders, who were a diverse mix of cowboys, miners, and college athletes, contributed to their legendary status.