As a manager, I've always striven to apologize for my errors. I do agree that errors are unavoidable and are bound to happen. That's why I actually never cared

As a manager, I've always striven to apologize for my errors. I do agree that errors are unavoidable and are bound to happen. That's why I actually never cared at all whether programmers apologize for bugs. Fixing bugs is also part of the software development process after all. However, I've always believed an apology is important to show humility to my team mates. As a manager, I do not want to appear entitled. Of course, as soon as the error is uncovered, we should prioritize it and fix it. But I do not believe that proceeding to fixing an error is orthogonal to apologizing for it. We are trying our best to build a company without a guilt culture. In such a position, is apologizing a bad move as a leader? What would you do?