
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 $f(x)=x^{2}-(a+2)x+a\ln x$, where the constant $a > 0$.

(Ⅰ) When $a > 2$, find the interval of monotonic increase for the function $f(x)$;

(Ⅱ) Let the function $y=h(x)$ defined on $D$ have its tangent line at point $P(x_{0},h(x_{0}))$ described by the equation $l:y=g(x)$. If $\frac{h(x)-g(x)}{x-x_{0}} > 0$ always holds within $D$, then $P$ is called a "pseudo-symmetry point" of the function $y=h(x)$. When $a=4$, determine whether $y=f(x)$ has a "pseudo-symmetry point". If it exists, find the abscissa of one "pseudo-symmetry point"; if not, explain why.

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