Apology Letter For Professional False Promise

Dear {Recipient},

On {date}, I promised that {promise made to the recipient}. Unfortunately, I was informed by my {manager/supervisor/boss} today that doing so would {be against company policy/cause the project to go over budget/etc.}. Therefore, I regret to inform you that I won't be able to {promise made to the recipient}.

I deeply apologize for the inconvenience; I should have cleared this first with my {manager/supervisor/boss}.However, I was told that I can {alternative offer} instead. Please let me know if you'd be interested in this option.

Kind regards,
{Your Name}

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