Private link does not regenerate after use

[O4epegb]

Issue Summary

Private link hint says that Your private link will regenerate after each use. But it seems that it does not happen right now.

The param that is used to regenerate is hardcoded to false right now:

https://github.com/calcom/cal.com/blob/8f9f096723335bf92638e7a2fdd99980f3ef09e9/packages/features/bookings/lib/book-event-form/booking-to-mutation-input-mapper.tsx#L50

https://github.com/calcom/cal.com/blob/8f9f096723335bf92638e7a2fdd99980f3ef09e9/packages/features/bookings/lib/handleNewBooking.ts#L2327

So what is the correct expected behaviour right now?

Either regeneration should be fixed, or hint should be removed, right?

There is also a e2e test for this, but it's basically disabled with fixme:

https://github.com/calcom/cal.com/blob/8f9f096723335bf92638e7a2fdd99980f3ef09e9/apps/web/playwright/hash-my-url.e2e.ts#L9

Steps to Reproduce

1. Enable Generate private link for event
2. Visit this link, book an event
3. Visit settings again, link is still the same

[asadath1395]

@PeerRich This is a duplicate of https://github.com/calcom/cal.com/issues/11676 and it has been fixed by https://github.com/calcom/cal.com/pull/11705