After I filed 2023 taxes I found an overpayment to a dr. HSA refunded, I received a message that the 2023 1099-SA has been reduced. Do I need to refile my taxes?

No, 

the reduction on 1099-SA will not generate tax, so you needn't file an amended return.

The refund should not count as a contribution, so there is nothing you need to report or adjust for in this situation.