Running a Second Work Email Waterfall for Rows without Emails | Clay Team

Hi Clay Team. Say I just finished running a Work Email Waterfall, and of course, there would be some rows that no emails were found. Is it possible that I can add another Work Email waterfall (using the providers I did not use previously), and only run for the rows that never found emails? Or do I need to upload a new table with the rows that did not find any emails?