Can the president may be re-elected three times?

The President may only be re-elected one time, to serve two consecutive terms.

------------ Well, technically, a person may serve as many as 10 years as President. This can be accomplished if the vice president must finish the term of another president and the time remaining is equal to but less than 2 more years. At that point the sitting president can be elected two more times. Could you claim they were re-elected twice? That's up to the observer.