Consider a planet with an atmosphere of ideal gas at constant temperature. The following is known:

- Pressure at the surface: \(P_0 = 100\ \text{kPa};\)
- Pressure gradient at the surface: \(-dP/dy|_0 = 12\ \text{Pa/m};\)
- Height of highest mountain: \(y^\star = 9000\ \text{m}.\)

Determine the atmospheric pressure near the top of the highest mountain. Give your answer in kilopascals, rounded to the nearest integer.

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