Automating Lead Updates from PhantomBuster to Clay: Solutions Explained

Hello, I want to automate getting new leads from phantombuster into clay. Is the following correct?

If I just use a "pull leads from phantombuster" table, as far as i understand, if phantombuster then updates and adds new leads in phantombuster, the clay-table will not be automatically updated.
If I want the clay-table to automatically update every time new leads appear in phantomBuster, I need some custom solution, e.g. via webhooks or zapier.

Is that correct or is there a native way with just phantomBuster and Clay to automatically have the clay-table updated?