First, turn off your AC to prevent further damage to your ceiling. Next, contact a professional HVAC company to repair the AC and drain the drip pan. Once the AC is repaired and no longer leaking that's when we step in.
Drywall damage due to AC leaks are common repairs. There sometimes can also the "foot/knee through the ceiling" when you or a technician is crawling through those tight spaces. It happens.. but don't worry, we can fix it!
With a typical AC repair we can be in and out of your hair in as little as 2 hours. Leaving NO mess/dust behind.