Reservation Form: That can will keep count of availability

We have some first-come first-served event sponsorship opportunities coming up. Is there a way to have like a "live" form, where if someone selects a month, then it will no longer be available for others to choose?

There is the date reservation widget. But that only really allows you to book a single day.

https://widgets.jotform.com/widget/date_reservation

You could use the appointment slots widget. And specify whole months to book.

https://widgets.jotform.com/widget/appointment_slots

Then there's the booking app

https://apps.jotform.com/app/bookings