Absolute ceiling refers to flying machines, and not biological fliers. There is no absolute ceiling for literally any bird either, and even if there were, it would be quite low, measured in a couple hundred meters at most, for nearly every bird. Even birds that utilize thermal updrafts to climb hardly compare to airplanes.
There are three reasons for this: firstly, the amount of power that any animal can produce is vastly less than the amount of power any man-made engine can produce. Second, they all need to breathe oxygen, and above altitudes of around 5,000 meters above sea level, any animal is going to start having a lot of trouble surviving, even with many generations of evolution helping them along. Third, because there's less air at these altitudes, any winged creatures would have to work harder to keep flying, so the combination of a lack of oxygen to work your metabolism, plus the lack of air to push against would be severely limiting at these kinds of altitudes.
So... this is kind of a non-question, and the answer is "about 5,000 meters, tops, but they're just not strong enough to reach that altitude anyway". Most of the time, they'd never exceed 300 meters above ground, just like pigeons.