How to Transfer Data Between Tables While Maintaining Integrations

Hi Clay Support, how can I transfer data from one table to another while keeping the integrations already ran in the first table? I found the "write to other table" option but I can't seem to make it work. For this particular case I've qualified companies and want to transfer them to another table and add some additional enrichments. Are there any sources that can help me understand the "write to other table" function?