
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 $f(x)=4\ln x-ax+\frac{a+3}{x}$ $(a\geqslant 0)$,
(I) Discuss the monotonicity of $f(x)$;
(II) When $a\geqslant 1$, let $g(x)=2e^{x}-4x+2a$. If there exist $x_{1}$, $x_{2}\in[\frac{1}{2},2]$, such that $f(x_{1})>g(x_{2})$, find the range of values for the real number $a$. (Note: $e$ is the base of the natural logarithm, $e=2.71828…$)

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