The most likely reason why kennedy decided to include the phrase "ich bin ein berliner" is; to show his support for west berlin.
"ich bin ein berliner" is a speech given by United States President John F. Kennedy given on June 26, 1963, in West Berlin. This was one of the best-known speeches of the Cold War and among the most famous anti-communist speeches.
The purpose of using that phrase was to show his support for west berlin.
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