Resolving Duplicate Contacts Issue in Clay's Companies Table

Hi! I'm having an issue in Clay where I have a Companies Table and include a column for Find Contacts at Company, which should of course find people at these companies and push them to a Peoples Table. The issue is that if I do such a search, and it yields results to get pushed to the People Table, and I then delete some of these people from the People Table, and the go back to the Companies Table and run that Find Contacts cell again for the same company/companies, it doesn't add the same contacts again. I have tried to disable de-dupe, remove the "exclude people" from the search, and more but nothing works. It's like if contacts were once found, they can't be added again. Is there any way around this? Because otherwise I essentially have to create a new table for this search to work again, which is a huge hassle.