Examine the logical coherence between the following philosophical premises and political inferences:
1. Evidence 1: The Harm Principle dictates that power can only be rightfully exercised over a member of a civilized community against his will to prevent harm to others. Inference 1: Therefore, the state cannot legitimately outlaw private actions that exclusively cause harm to the individual performing them.
2. Evidence 2: John Stuart Mill created a strict dichotomy between 'self-regarding' actions and 'other-regarding' actions. Inference 2: Consequently, Mill argued that the state possesses absolute regulatory authority over purely 'self-regarding' actions to maintain the moral purity of society.
3. Evidence 3: A citizen blasts loud music at 3 AM in a densely populated apartment complex. Inference 3: According to the Harm Principle, the state is justified in intervening because this 'other-regarding' action inflicts a tangible nuisance and harm on neighbors.