curl --request POST \
  --url https://prod.featherhq.com/api/v1/calendar-bookings/{bookingId}/reschedule \
  --header 'Content-Type: application/json' \
  --header 'X-API-Key: <api-key>' \
  --data '
{
  "startTime": "2023-11-07T05:31:56Z",
  "timezone": "<string>",
  "cancellationReason": "<string>"
}
'

{
  "id": "<string>",
  "organizationId": "<string>",
  "calendarId": "<string>",
  "eventTypeId": "<string>",
  "title": "<string>",
  "description": "<string>",
  "startTime": "<string>",
  "endTime": "<string>",
  "timezone": "<string>",
  "attendeeName": "<string>",
  "attendeeEmail": "<string>",
  "attendeePhone": "<string>",
  "location": "<string>",
  "meetLink": "<string>",
  "agentCallId": "<string>",
  "leadId": "<string>",
  "cancelledAt": "<string>",
  "cancellationReason": "<string>",
  "rescheduledFromId": "<string>",
  "rescheduledToId": "<string>",
  "createdAt": "<string>",
  "updatedAt": "<string>",
  "metadata": null
}