
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Given the function $f(x)=2\ln x+x^{2}-ax+2$ ($a\in\mathbb{R}$).  
(I) Discuss the monotonicity of the function $f(x)$.  
(II) If there exists $x_{0}\in(0,1]$ such that for any $a\in[-2,0)$, the inequality $f(x_{0}) > a^{2}+3a+2-2me^{a}(a+1)$ (where $e$ is the base of the natural logarithm) always holds, find the range of the real number $m$.

Present the answer in LaTex format: \boxed{Your answer}
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