"Tell me about a time you dealt with conflict" isn't really asking for a story — it's asking how you think under pressure, and a rambling answer signals that more clearly than the content of the story itself.
A tight answer names the situation in one sentence, spends most of the time on what you specifically did (not what "the team" did), and closes with a measurable or at least concrete result.
Prepare three to five real examples that each cover a different theme — conflict, failure, leadership, ambiguity, a tight deadline — rather than one over-rehearsed story stretched to fit every question.
A follow-up question ("what would you do differently?") is the interviewer checking depth, not a sign your first answer was wrong. Answering it honestly, including a real limitation, reads as more credible than insisting nothing could have gone better.
Practising out loud, not just in your head, is the single biggest difference between an answer that sounds rehearsed-stiff and one that sounds rehearsed-confident.