Moving desktop PDFs from one computer to another

Hello,
I've just upgraded my MacBook. I know that if I just download and sync Zotero all the PDFs that were stored on my old laptop will not appear. How do I transfer my library over to the new laptop? Note that I'm NOT allowed to use Mac's migration assistant as it is a work machine. So I really just need to know where the library lives so I can put it in an external HDD and drop it into my new machine. Thanks
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