jack11sparrow

[fossil juniper]

There are a few:
customer.subscription.updated
invoice.created
payment_intent.created
And then events about how successful those actions were:
invoice.finalized
invoice.finalization_failed
etc
https://stripe.com/docs/billing/subscriptions/overview#subscription-events

I'd reccommend testing your flows with a test clock, we simulate time passing and emit the proper events https://stripe.com/docs/api/test_clocks

[tacit sun]

main thing is same events will trigger for renewal whether the inital payment was done by checkout or not

[fossil juniper]

Yes invoice.paid will be triggered for both

You can look at the billing_reason property to see if this is the first payment or a renewal https://stripe.com/docs/api/invoices/object#invoice_object-billing_reason