Air conditioners produce water. That's normal and unavoidable: warm humid air passes over a cold coil, moisture condenses out of it, and that condensate has to go somewhere. When you see water where it shouldn't be, the cooling is usually fine. The drainage is what has failed.
Where the water appears tells you the cause
Dripping from the indoor unit itself. Nearly always a blocked condensate drain line. Dust, biological slime and general grime build up inside the drain pipe until water backs up in the drain pan and spills over the edge. Common, and straightforward to clear.
A stain spreading on the ceiling near a vent. This one is different, and more often misdiagnosed. It's usually condensation forming on the outside of uninsulated or poorly sealed ductwork in the ceiling void, then soaking into the ceiling board. Repainting the ceiling does nothing; the insulation on that duct run needs repairing.
Water pooling around the outdoor unit. Normally harmless. Condensate draining out is expected behaviour.
Ice on the pipework, then water when it melts. This points back to a refrigerant or airflow problem rather than a drainage one. The coil is getting cold enough to freeze, and what you're seeing is meltwater, not condensate.
Why a small drip is worth acting on
The leak itself is rarely the expensive part. What makes it expensive is what it soaks into. In Dubai's humidity, persistent damp in a ceiling void or wall cavity encourages mould growth in exactly the place you can't see it, and mould in a ceiling void near AC ductwork tends to end up circulating through the system. A blocked drain line cleared in an hour is a small job. The same leak left for a season can mean replacing ceiling board, treating mould, and cleaning the duct network.
What you can do now
Switch the unit off if water is actively dripping onto anything that matters, and put something under it. Don't run it continuously hoping the leak clears itself; a blocked drain doesn't unblock with use. If the leak is a ceiling stain rather than an obvious drip, note whether it appears only when the AC is running, since that confirms it's condensation rather than a plumbing leak from above.
Need this looked at?
inspection, fixed written price before any work begins, and a before/after photo report on every job.