Given that xx, yy, and zz are positive real number and x>1x>1, find the maximum value of:
P = \frac{1}{\sqrt{x^2+y^2+z^2-2x+2}}-\frac{2}{x\left(y+1\right)\left(z+1\right)}
P=
x
2
+y
2
+z
2
−2x+2
1
−
x(y+1)(z+1)
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