Post-interview follow-up note

The day after an interview, when "thanks for your time" is not enough.

Write my follow-up note after this interview. Under 150 words, sent within a day.

It should do three things:
1. Reference one specific thing from the conversation, so it is obviously not a template.
2. Add something of value: a better answer to a question I fumbled, a link or reference I mentioned, or a short thought on a problem they raised. Pick whichever my notes actually support.
3. Restate interest in one plain sentence, with no desperation and no over-selling.

No bullet points, no re-listing my qualifications, no "as I mentioned in my CV".

If I noted a question I answered badly, draft the two-sentence correction, keeping it brief enough not to look anxious.

My notes from the interview:

Interviews. Preparing answers, questions and stories before the call, and the note you send after it.