Overkill?

[applicant11]

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Hi All,

I interviewed at a school I absolutely love and a student there told me to send an update letter / letter of interest if I had not heard any news within a month. Is it overkill to send this letter, and to also have an additional LOR sent on my behalf, post interview? I want to show I am serious about attending this school but don't want to annoy them...

Thanks!