The Tuareg people—a nomadic Berber group inhabiting Niger, Mali, Algeria, and Libya—have their own distinct language called Tamashek. In their native script (Tifinagh), the word is written as:
ⵜⴰⵎⴰⵞⴰⵖ
Transliterated, this reads tamajeγ (with the γ representing a voiced uvular fricative sound).
Tamashek belongs to the Berber branch of the Afro-Asiatic language family. The Tuareg are often called the "Blue People" for their indigo-dyed turbans and veils, which stain their skin over time. Their language and script have survived centuries of migration across the Sahara, preserving a unique cultural identity.
So while English speakers write "Tuareg," the people themselves render their identity in the ancient Tifinagh characters above.