I agree but feel that "fixing it" is itself a form of apology especially when acknowledging the problem. I don't feel an actual "I'm sorry ..." type of apology

I agree but feel that "fixing it" is itself a form of apology especially when acknowledging the problem. I don't feel an actual "I'm sorry ..." type of apology is needed unless you really had an impact on someone's feelings, emotions, or in the work scenario you knew it caused them unexpected grief (work on their day off, etc). Otherwise, people messing up is just part of the job and they should expect that they will occasionally have to deal with some mess ups. Alternatively, I might just be low on the self-compassion spectrum.