what is the mission statment of the military branches... not like the army of one but the paragraph lenght one

Answer 1

We're not a corporation, we don't have "mission statements" and different units support different aspects of the mission.

If you're looking for the closest thing we have to a mission statement it would be:

To fight and win the nation's wars

Though obviously there are refinements to that based on different branches'/units' capabilities

Answer 2

The mission of the United States Air Force is to deliver sovereign options for the defense of the United States of America and its global interests -- to fly and fight in Air, Space, and Cyberspace.

The Army’s mission is to fight and win our Nation’s wars by providing prompt, sustained land dominance across the full range of military operations and spectrum of conflict in support of combatant commanders.

The mission of the U.S. Navy is set forth in Title 10 of the U.S. Code. It states that the U.S. Navy must be prepared to conduct prompt and sustained combat operations in support of the national interest. This means the Navy must assure continued maritime superiority for the United States. The U.S. Navy must be able to totally defeat any threats to the continued free use of the high seas by the United States. The Navy assures continued maritime superiority through the destruction of hostile aircraft, surface ships, and submarines that threaten seaborne forces of the United States and our allies. This mission is carried out within the framework of the national strategy, in joint coordination with the other services, and in combined planning with U.S. allies.

Marine Corps Mission: National Security Act of 1947, amended in 1952. “Marines are trained, organized, and equipped for offensive amphibious employment and as a ‘force in readiness.’” There are 7 elements to the Marine Corps Mission (listed in NOG p. 211-214)

Answer 3

The mission of the United States Air Force is to deliver sovereign options for the defense of the United States of America and its global interests -- to fly and fight in Air, Space, and Cyberspace.

Answer 4

I know the academy's:

The mission of the United States Coast Guard Academy is to graduate young men and women with sound bodies, stout hearts and alert minds, with a liking for the sea and its lore, with that high sense of honor, loyalty and obedience which goes with trained initiative and leadership; well grounded in seamanship, the sciences and amenities, and strong in the resolve to be worthy of the traditions of commissioned officers in the United States Coast Guard in the service of their country and humanity.

Answer 5

the closest thing i can think of that would fit the description is the oath under which you enlist:

i will support and defend the constitution of the untied states of america from all enemies foriegn and domestic. i will obey the orders of the president of the united states and those of the officers appointed over me