Connecting ActiveCampaign to our customer database

We run a subscription box service, and all customer payments, renewals, and cancellations are stored in MySQL. Our marketing team uses ActiveCampaign for email sequences, but its reports don’t show whether a campaign led to an actual renewal or another purchase. I want to bring the contact, campaign, and automation data into our database so we can connect it with customer activity. What’s the best way to set up an ActiveCampaign MySQL integration without exporting everything by hand?