Question

In a given municipality, the local government plans to construct a new public school to address the growing population and the need for additional educational facilities. Accordingly, they identified a vacant lot near the town center which is currently being used as a parking area. The said lot is owned by a private individual, who is unaware of the government's plan.

Discuss the legal implications of the classification of the property in question, specifically as to whether it falls under the public dominion, patrimonial, or private property in accordance with Articles 419-425 of the Civil Code. Provide a detailed analysis of the applicable laws and principles to support your conclusions.

List down the factors or elements that determine the classification of a property in the Philippines. Analyze how each element applies to the given scenario, and present the legal consequences that may arise based on such classification.

Your response should be based on the provisions of the Civil Code, specifically Articles 419-425, as well as relevant jurisprudence on the matter.