Which historical element was deliberately incorporated into the Department of Defense seal/logo when it was officially adopted in 1947?

Throughout military history, logos and emblems have served as powerful symbols of identity, tradition, and values. The Pentagon, headquarters of the U.S. Department of Defense, has one of the most recognizable corporate identities in military institutions worldwide. This trivia question explores the history behind the official DoD emblem that has represented America's military leadership for decades.

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An eagle clutching thirteen arrows, representing the original colonies and America's military might
A five-pointed star derived from the Pentagon building's architectural design
A Roman gladius (sword) symbolizing the unification of the Army, Navy, and newly-formed Air Force
A compass rose representing global military navigation and strategic deployment