People forgive mistakes. They remember patterns.

One mistake is an event, and people are surprisingly generous about events. The same mistake three times stops being an event and turns into information about you, which is a different thing entirely and much harder to take back. What gets remembered is not the worst thing you did but the shape of what you keep doing.

After you get something wrong, change one visible part of how you work so the second time does not arrive: an alarm, a note, a different order of doing things. Tell whoever it affected what you changed. Fixing the pattern is what actually buys the forgiveness.