uncommon questions - entropy and gravity

The Bekenstein-Hawking-entropy \(S\) of a black hole is proportional to the area of the event horizon, and scales quadratically with the mass. Conversely, the Bekenstein-Hawking-temperature \(T\) of a black hole is inversely proportional to mass. Now, the third law of thermodynamics states that entropy needs to approach zero with decreasing temperature, which is not fulfilled by the Bekenstein-Hawking-relations: as \(T\) increases, \(S\) decreases and vice versa. Where’s the problem?