Which term in the Preamble of the Indian Constitution signifies a nation with an elected head of state?

In the Preamble of the Indian Constitution, the term "Republic" specifically denotes a nation with an elected head of state. India's republican status is manifested through its President, who serves as the head of state and is selected by an Electoral College comprising elected members from both Houses of Parliament and State Legislative Assemblies. The Preamble begins with "We, the people of India," emphasizing that sovereign power ultimately resides with the citizens. The Indian Constitution defines the nation as a "sovereign, socialist, secular, democratic republic," with each term carrying distinct significance: "Sovereign" indicates India's independence in decision-making; "Socialist" reflects the commitment to social and economic equality; "Secular" signifies equal respect for all religions; and "Democratic" establishes the citizens' right to elect representatives and participate in governance.