The correct spelling for the phrase "am constituent" could vary depending on the intended meaning. If it refers to being a member of a group or organization, the correct spelling is "I am a constituent". The pronunciation is /aɪ æm kənˈstɪtʃuənt/. However, if it refers to being made up of something, the correct spelling is "I am a constituent". The pronunciation is /aɪ æm kənˈstɪtjuənt/. The addition or omission of the letter ‘u’ changes the word's meaning and pronunciation, demonstrating the importance of spelling accuracy.
The word "am constituent" does not have a clear etymology. "AM" typically refers to the radio frequency modulation, and "constituent" relates to someone or something that makes up a whole or is an essential part of it. However, it seems that "am constituent" may not be a commonly used or recognized phrase.