Ory is the largest open source community in the world for cloud software application security. We maintain advanced open source security software solving authentication, authorization, access control, application network security, and delegation. Ory implements a variety of industry and best-practice standards including OAuth 2.0 / OAuth 2.1, OpenID Connect, Zero Trust Networking, Google Zanzibar Policy Framework, FIDO2 U2F, WebAuthn, TOTP, and more.

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from playing around with the publicly hosted version at `<https://kratos-reference-ui-react-nextjs.vercel.app/>` it appears the api is running on the same domain:
```:authority: <http://kratos-reference-ui-react-nextjs.vercel.app|kratos-reference-ui-react-nextjs.vercel.app>
:method: POST
:path: /api/.ory/self-service/registration?flow=939f4dad-a543-45b4-adc3-cc0ed0780f08```
and so the cookie is getting sent

Sounds familiar, does this thread help? <https://ory-community.slack.com/archives/C012RJ2MQ1H/p1643808666531659?thread_ts=1643729372.375029&amp;cid=C012RJ2MQ1H>