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Write a function named first_non_repeating_letter that takes a string input, and returns the first character that is not repeated anywhere in the string.
For example, if given the input 'stress', the function should return 't', since the letter t only occurs once in the string, and occurs first in the string.
As an added challenge, upper- and lowercase letters are considered the same character, but the function should return the correct case for the initial letter. For example, the input 'sTreSS' should return 'T'.
If a string contains all repeating characters, it should return None.