
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 $f(x)= \frac {2(2-a)}{x}+(a+2)\ln x - ax - 2$,
(Ⅰ) When $0 < a < 2$, determine the intervals of monotonicity for the function $f(x)$;
(Ⅱ) Given $a=1$, consider the function $g(x)=x^2 - 4bx - \frac{1}{4}$. If for any $x_1 \in (0, e]$, there exists an $x_2 \in (0, 2]$ such that $f(x_1) \ge g(x_2)$ holds, find the range of values for the real number $b$.

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