We all drop the ball at times. (Some obviously more than others.) That’s not really the problem.
The problem can start or be solved by what we do when it’s on the ground.
Do we dive on it to make sure we don’t turn a mistake into a major issue? Do we take responsibility for it if the other team gets it?
Or do we stand there and watch others fight for it, then blame someone else for why it was dropped in the first place?
It may be hard or embarrassing to say to your customers, “Yes, I dropped the ball, I’m working to make sure that this issue is fixed for you.” But it means you care and chances are, they’ll come back.