[JETBOOKING] Homepage filter with reserved dates

Hello, I have a Booking website that has just one "room" because i did this to book the whole house.

I managed to create the front (homepage) filter with Jetengine Form to use the Range Calendar (Checkin/Checkout). The filter works fine with the room page after submit.

Normally in the room page you can use this calendar form and it shows the available days that the "room" has, so i cannot choose reserved dates.

I need to apply this reserved dates to the homepage filter.

Is there a way to do this? I'm using Elementor, JetEngine and JetBooking.

Calendar without reserved dates