fix: ensure seated event reschedules send proper reschedule emails (#22849)

* fix: ensure seated event reschedules send proper reschedule emails

- Fix attendee reschedule bypass when no existing booking at new time slot
- Remove restrictive isConfirmedByDefault conditions from owner reschedule functions
- Add seatedRescheduleEmailSent flag to coordinate email sending between handleSeats and handleNewBooking
- Prevent main flow from overriding seated reschedule emails with scheduled emails

Fixes issue where both organizer and attendee receive schedule emails instead of reschedule emails during seated event reschedules.

Co-Authored-By: anik@cal.com <adhabal2002@gmail.com>

* refine: only apply seatedRescheduleEmailSent check for seated bookings

- Add eventType.seatsPerTimeSlot condition to ensure flag only affects seated events
- Prevents interference with regular booking email flow

Co-Authored-By: anik@cal.com <adhabal2002@gmail.com>

* fix: replace unreliable flag mechanism with direct seated reschedule detection

- Remove seatedRescheduleEmailSent flag from HandleSeatsResultBooking type
- Remove flag assignments from seated reschedule functions
- Use direct detection (eventType.seatsPerTimeSlot && rescheduleUid) in handleNewBooking
- Maintain email sending fixes for attendee reschedules and owner reschedule conditions
- Resolve TypeScript type mismatch issues with type-safe approach

Co-Authored-By: anik@cal.com <adhabal2002@gmail.com>

* Update attendeeRescheduleSeatedBooking.ts

* revert

---------

Co-authored-by: Devin AI <158243242+devin-ai-integration[bot]@users.noreply.github.com>

packages/features/bookings/lib/handleNewBooking.ts

@@ -1990,7 +1990,7 @@ async function handler(
           })
         );
 
-        if (!isDryRun) {
+        if (!isDryRun && !(eventType.seatsPerTimeSlot && rescheduleUid)) {
           await sendScheduledEmailsAndSMS(
             {
               ...evt,

packages/features/bookings/lib/handleSeats/reschedule/attendee/attendeeRescheduleSeatedBooking.ts

@@ -51,6 +51,8 @@ const attendeeRescheduleSeatedBooking = async (
     // We don't want to trigger rescheduling logic of the original booking
     originalRescheduledBooking = null;
 
+    await sendRescheduledSeatEmailAndSMS(evt, seatAttendee as Person, eventType.metadata);
+
     return null;
   }