I think your best choice here is to rename the existing table, create a new table with the old name, migrate all the existing records into the newly-created table with a "select distinct ..." then put the unique constraint/index on the new table. That way you've got the old data to refer to if necessary, although how you handle any other fields that you didn't show in your original posting will need to be addressed somehow.

If there are additional fields that are different between the non-unique rows then the only way to handle it would be to somehow modify the three columns so each row does end up unique then add the unique constraint/index. Again that's going to have to be something you work out based on your business requirements.