Do not turn a small correction into a public lesson about someone’s worth.

A correction has a natural size, and it is almost always smaller than the moment tempts you to make it. Adding an audience, a history, or a comment about what this says about the person turns a fixable detail into something they will carry. What you wanted was different behavior next time. What you produced was shame, which mostly teaches people to hide.

Keep it to the thing itself, in private, in one or two sentences. Say what happened and what you want instead, then stop and let it be over. If a pattern genuinely needs discussing, that is a separate conversation, not something to fold into a passing remark.