Evaluate the precise scope and limitations of the executive authority wielded by the President of India regarding national defense and international diplomacy:
1. The highest executive office retains the constitutional prerogative to formally declare war against a foreign adversary or authorize a peace agreement.
2. The executive is officially tasked with appointing the commanding officers across all three primary branches of the national armed forces.
3. Any international diplomatic agreements finalized by the executive branch bypass legislative oversight and are instantly legally binding without parliamentary consent.