Maximum allowable length for a column under a load (buckling question)

1. The problem statement, all variables and given/known data
Here is the problem with the solution:

I feel like the solution should be 10.74m. The maximum allowable length should be the lower one. This is because, for example, if we make the column 11m in length. The Pcr in the zy plane would decrease and since we are applying the same load, it would fail.

Does anyone else agree that the solution is wrong?

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