In carrying out our daily activities we never escape from mistakes, including in the office. Minor mistakes in an individual's daily tasks can be quickly corrected, even before others are known.
But if it involves teamwork in a project, regardless of whether large or small it often makes us feel bad.
It sounds very easy, we have been trained since childhood when it is wrong to apologize. But we also know, the reaction to a condition is not always so.
There is only one good way, that is to admit mistakes, no need to be persistent, or to apologize repeatedly, especially with a panic. Simply show sincere regret for your actions, and ensure that they will never happen again.
Whatever you have to do, immediately do without complaining. This will show everyone around that you are acting professional and a responsible person.
You don't have to assume responsibility for things you don't do, but blaming others is never a good idea.
If someone else is responsible for the mistakes, just concentrate on the mistakes you make. When apologizing for a mistake, just apologize for your actions. Do it clearly and specifically, but never bring other people into it.
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From @aldialbest