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You have to be careful of which branch you want to join, if, seeing the world is a priority. Some branches, those will remain nameless, won't take you to many places, so it's important to speak to vets from all branches rather than recruiters with false promises.
I served in the US Navy, and I saw the world, as well as, lived in many countries (Spain, Greece, England and Italy) and not on a ship, actual homes on land. I owe a great debt of gratitude for that experience.
My suggestion to you would be to join the Navy, get into a ROTC program, which will allow you to go to college on their dime, plus, this program gives you a stipend allowance of roughly $1,000 per month. Once you graduate, you enter the Navy as an officer. So, you will have an education - with no school debt, leadership experience and a great career. When you leave after your committed time or retirement you will be highly sought after in the civilian workforce.
If you have any questions moving forward, please feel free to message me - I would gladly help.