Submit registration, login, and recovery with form post

[aeneasr]

Preflight checklist

• [X] I could not find a solution in the existing issues, docs, nor discussions.
• [X] I agree to follow this project's Code of Conduct.
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Ory Network Project

No response

Describe the bug

When submitting with AJAX, Safari ITP limits cookies to 7 days. To work around this, we need to submit the form using form submit.

Reproducing the bug

See internal notes.

Relevant log output

No response

Relevant configuration

No response

Version

master

On which operating system are you observing this issue?

None

In which environment are you deploying?

None

Additional Context

No response