How to handle PaymentActionRequired exceptions when swapping plans using Stripe Checkout?

I'm using Cashier to handle subscription billing via Stripe Checkout.

When a subscriber wants to swap their plan (and I need them to be billed immediately), I use the swapAndInvoice method.

In many cases, this returns a PaymentActionRequired exception - e.g. the user needs to do 3D Secure authentication.

It's not clear to me in the documentation how to handle this if I am using Checkout. I could create an entirely new subscription checkout, but that would result in a second subscription, rather than updating the existing one. Can I redirect to Checkout in a way that means the user is updating a current subscription, rather than creating a new one?