If admitting you're wrong when you are is such an abomination that you never do it is there something drastically wrong with you? Mentally, emotionally, spiritually, physically? No one is always rights all the time. Everyone makes mistakes. No one is perfect.
Admitting the truth is a healthy thing to do. Not admitting it/denying it/LYING sbout it means there is something critically wrong with you. Doesn't it?