How to say “Politely correct an error” professionally

Level 1: Thank you for sharing this. Upon review, I noticed a minor discrepancy on [specific point/data] that seems to diverge from our agreed-upon [source/baseline]. I've cross-referenced it and it appears [corrected information] might be more accurate. Would you like me to update this component?

Level 2: I've been reviewing the [document/plan] and wanted to ensure we're fully aligned on [specific detail]. My understanding, based on [previous discussion/document], was [original correct detail], which differs slightly from what's presented here as [incorrect detail]. Could we quickly clarify the intended approach?

Level 3: I've identified a divergence from the agreed-upon [Project Charter/SOW/initial brief] regarding [specific error]. Per section [X.Y] of that document, the intended outcome was [correct outcome]. We may need to revisit that component to ensure full adherence to the established framework, lest we stray from the sacred texts.

Level 4: There is an error in [specific detail/calculation] within [document/decision], which directly impacts [consequence, e.g., project timeline/budget/client expectation]. We need to correct this immediately to avoid [negative impact]. How would you like to proceed with the necessary remediation?

Level 5: Wrong. Fix it.

Level 1: Thank you for sharing your feedback. To ensure we're delivering precisely what you need, I'd like to clarify a small detail regarding [specific point]. Based on our initial scope, [correct detail] was agreed upon, differing slightly from [client's incorrect detail]. Could you confirm which direction you'd prefer we proceed with?

Level 2: We appreciate your engagement on this project. Regarding [specific element], our records from [meeting date/SOW document] indicate [correct information/approach]. We want to ensure full alignment with our established project parameters. Could you help us understand the context of [client's incorrect information]?

Level 3: I've noted the updated information regarding [client's error]. Please be advised that proceeding with [client's incorrect information] would necessitate a revision to the current project scope and may incur additional costs/timeline adjustments, as it deviates from the original [SOW/agreement]. We'll await your confirmation on how you wish to proceed and update the change order accordingly.

Level 4: The data/instruction provided for [specific task] contains a discrepancy with our agreed-upon [scope/specification/previous deliverable]. This error will prevent us from meeting [specific objective/deadline] if not corrected. We require a revised input from your team by [date] to avoid project delays.

Level 5: This is your fault. Not ours.

Level 1: I was looking over [document/task] and noticed [specific point]. It seems there might be a small error with [detail]. I just wanted to flag it in case you want to review it before [next step]. Let me know if you need another set of eyes.

Level 2: Just checking in on [task]. For [specific element], my reference indicates [correct information], but I see [incorrect information] here. Could this be a difference in our source material, or should we align on the [correct information] for consistency across our deliverables?

Level 3: Regarding [specific task/deliverable], I recall we established [correct method/data point] during our [previous meeting/training session]. The current iteration reflects [incorrect method/data point], which could lead to inconsistencies down the line. Perhaps a quick cross-check against our foundational documentation would be beneficial.

Level 4: The [component/data] you provided for [project] contains an error in [specific detail]. This impacts [my ability to proceed/the accuracy of X]. Please correct this by [deadline] so we can maintain our project timeline and avoid further disruption.

Level 5: You messed up. Again.