The government structure that faces the disadvantage of "tyranny of the majority" is typically a Federal system. In a federal system, power is divided between a central authority and various constituent entities (such as states or provinces). This can lead to situations where the majority in a particular state or region may pass laws that are unpopular or discriminatory towards minority groups, reflecting the "tyranny of the majority" concept.
In contrast, a Unitary system centralizes power, which may limit the influence of regional majorities on law-making, while a Confederated system generally emphasizes the autonomy of member states, which may mitigate such issues. Kingship usually involves a singular ruler with extensive powers, which doesn’t typically engage in the same dynamics.