The Ibadi branch of Islam is neither Sunni nor Shia.
While it has historical connections to the Khawarij movement, Ibadi Islam is considered a distinct and separate branch. Ibadis themselves reject the Khawarij label, viewing it as a historical link rather than a contemporary identifier. Their theological and legal perspectives differ significantly from both Sunni and Shia Islam.
Therefore, it's inaccurate to classify Ibadi Islam as belonging to either of these two main branches. It stands as its own unique tradition within the broader Islamic faith.