Apologize
Own a mistake clearly, without groveling, and say what happens next.
Example input
sent Laura's team the march invoice again instead of april, so they paid march twice. refund of the extra $1,240 goes out friday. from now on a second person checks invoices before they go out
Edyt's result
Laura,
I'm sorry for sending your team the March invoice again instead of the April one, which resulted in you paying March twice. A refund of the extra $1,240 will go out on Friday. From now on, a second person will check invoices before they go out to prevent this from happening again.
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