Which crusader state was founded with Antioch as its capital?

The crusader state founded with Antioch as its capital was the Principality of Antioch.

It was created during the First Crusade after the city fell to the crusaders in June 1098. Bohemond of Taranto, a Norman leader from southern Italy, claimed Antioch for himself rather than returning it to the Byzantine Empire, as crusader leaders had promised. He became the principality’s first ruler.

Antioch was strategically important because it controlled routes between Anatolia, northern Syria, and the Mediterranean coast. The principality included territory in parts of modern Turkey and Syria and bordered the County of Edessa, the County of Tripoli, and later the Armenian Kingdom of Cilicia.

A common mix-up is confusing Antioch with the Kingdom of Jerusalem, the most prominent crusader state. The two were separate political entities, as were the County of Edessa and County of Tripoli. The Principality of Antioch survived until 1268, when the Mamluk sultan Baibars captured the city.