I dropped the baton in our relay and keep apologising. When does taking responsibility become unhelpful?

At the next training session, I said sorry to our relay group again. One teammate put her bag down and said, "We know. Can we practise now?"

I fumbled our exchange at the meet, and we finished fourth. I apologised that day and messaged afterwards. Nobody has asked me to keep explaining it, but every time somebody mentions the race I feel I should say something before they think I've moved on too easily.

Our coach wants us to review the exchange together. I want to do that. I'm also worried I'll spend the review asking everyone to reassure me rather than listening to what we can change.

How would you own the mistake without making your teammates manage your feelings about it? I'd like to arrive ready to work, while accepting that someone may still be disappointed. I don't know whether being quieter will look responsible or as though I no longer care.