Sync "no reply needed" status back to PMS (Guesty) so it propagates to Booking.com

When I mark a conversation as not requiring a reply in ProhostAI, this status doesn't get sent back to the PMS (Guesty, in my case). Since Guesty is what's actually connected to Booking.com, the thread stays flagged as unanswered there, which negatively affects the property's reply score on Booking.com.