Automating Lemlist Responses to Clay: Seeking Tips and Help

Hi Everyone! We need some help 🙂 We are trying to to get all replies on our outreach send via Lemlist, automatically in Clay in text. So we can analyse the responses. We are currnetly using Zapier. We are able to make the connection, get the send e-mails in Clay, but we need the responses. We want to do it directly from Lemlist, because there are more then a dozen e-mail accounts connectef from out partner ( we are a GTM/outsource agency). Any tips? Thanks a lot!