Make room for the other version
Ask what the other person understood before assuming that you are arguing about the same facts. For a message about how to apologize for taking over a group decision, use this factual base: identify the role, commitment, shared resource, or decision affected and who had to cover the gap.
Correct the record precisely
Correct only what you can support, acknowledge any real impact, and propose a practical way to prevent repetition. Complete the outstanding task, replace what was lost, or accept a fair change in responsibility. Make the immediate next step clear enough that the recipient can answer without reconstructing the entire history.
Agree on a testable next step
Do not blame the group, demand public absolution, or use a private apology to avoid team accountability. Report bullying, discrimination, hazing, threats, and safeguarding concerns through the responsible organization. Do not recruit an audience, publish private evidence, or turn a misunderstanding into a campaign about character.