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Comment by mattchue
Thanks for the response! I've been trying to do a bit of this with my cover letter: the way I have it structured allows me to write a portion of it specific to each application, and I've been including the cover letter even when not required. It sounds like you are suggesting I ditch the letter altogether for a more succinct note explaining why I am interested and why I would be a good fit in situations where it is not required. I will definitely give that a shot.