How did the crowning of Charlemagne harm relations between the east and west?

The crowning of Charlemagne as Emperor of the Romans in 800 AD by Pope Leo III symbolized a significant shift in power dynamics, asserting the authority of the Western Church and its leaders over the Byzantine Empire, which considered itself the continuation of the Roman Empire. This act was perceived by the Byzantine Emperor, Justinian II, as an affront, leading to a deterioration of relations between the Eastern Orthodox and Western Catholic Churches. The crowning deepened the existing cultural and political divides, as it emphasized the West's claim to imperial legitimacy while undermining the East's historical role. Consequently, this event set the stage for centuries of tension and rivalry between the two regions.