The phrase "puppet regime" refers to a government or political system that is controlled or manipulated by an outside force, often a more powerful country. However, there are several synonyms that can be used to describe such regimes with a similar meaning. Some of these include client state, satellite state, vassal state, puppet state, and proxy government. All of these terms refer to a government that is essentially controlled by another entity, whether that be a foreign power, a tyrant, or a ruling elite. Each of these synonyms adds a slightly different perspective to the idea of a puppet regime and can help to provide a more nuanced understanding of how these systems operate.