How to 'fulfill ' Stripe order after checkout?

I can't seem to figure out the solution from reading the docs, I tried emailing support but it's taking a little while.

I'm working on a little gifting/tipping platform like https://www.buymeacoffee.com. I'm using Stripe Connect with Node. The user enters a Name, Message, and $ Amount and clicks submit. I make an API call with the details to my API endpoint. I save the details into a database record with an fulfilled: false property. Then I created a checkout session like this and redirect the user to it:

    const session = await stripe.checkout.sessions.create({
      payment_method_types: ['card'],
      line_items: [{
        name: `Tip for ${user.name}`,
        amount,
        currency: 'usd',
        quantity: 1,
      }],
      payment_intent_data: {
        application_fee_amount: fee,
        transfer_data: {
          destination: `${user.accountId}`',
        },
      },
      mode: 'payment',
      success_url: 'https://example.com/success',
      cancel_url: ''https://example.com/fail',
    });

At this point I need to find a way to mark the record as fulfilled: true if the payment succeeds. The docs recommend that you listen for the webhook payment_intent.succeeded. However, I don't know how to access the database record from the webhook so that I can fulfill it. Should I pass it through under the line_items.metadata? Is there a simpler way to handle this?